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	32	Product of Tamagawa factors cp
Δ	-1.54954653696E+25	Discriminant
Eigenvalues	2- 3+ 5+  0  4  6 -4 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,53700597,-113697016902]	[a1,a2,a3,a4,a6]
Generators	[12381267727293153:3128709332880000000:196426902797]	Generators of the group modulo torsion
j	212427047662836354837/192200000000000000	j-invariant
L	5.2687126955668	L(r)(E,1)/r!
Ω	0.038341370576554	Real period
R	17.17698342658	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	2790n2 89280ds2 22320bb2 111600ct2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22320v2

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 22320v2

-4	8	-3	5
2790n2	89280ds2	22320bb2	111600ct2

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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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