Cremona's table of elliptic curves

22320 = 2⁴ · 3² · 5 · 31

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 31-	Signs for the Atkin-Lehner involutions
Class	22320v	Isogeny class
Conductor	22320	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	2419200	Modular degree for the optimal curve
Δ	2.0965384639218E+23	Discriminant
Eigenvalues	2- 3+ 5+  0  4  6 -4 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-17078283,-15894760518]	[a1,a2,a3,a4,a6]
Generators	[3045165389400759949573861:371688464068160612891623424:190015856526206688193]	Generators of the group modulo torsion
j	6832900384593441003/2600468480000000	j-invariant
L	5.2687126955668	L(r)(E,1)/r!
Ω	0.076682741153109	Real period
R	34.353966853161	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2790n1 89280ds1 22320bb1 111600ct1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22320v1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	+	+	0	4	6	-4	-8	-2	2	-	-2	0	4	0	14	-8	12	-10	-6	6	-8	-12	-6	-14

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Quadratic twists for elliptic curve 22320v1

-4	8	-3	5
2790n1	89280ds1	22320bb1	111600ct1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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