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	22320bl	Isogeny class
Conductor	22320	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	9520413923082240 = 225 · 310 · 5 · 312	Discriminant
Eigenvalues	2- 3- 5+ -4  2  2  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-31456443,67906685162]	[a1,a2,a3,a4,a6]
Generators	[4013:79360:1]	Generators of the group modulo torsion
j	1152829477932246539641/3188367360	j-invariant
L	4.0698405537624	L(r)(E,1)/r!
Ω	0.27002131862698	Real period
R	1.8840366820187	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	2790x2 89280fk2 7440n2 111600eh2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22320bl2

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
-	-	+	-4	2	2	0	0	-6	0	+	-2	10	4	4	-6	-4	0	-4	-16	4	-4	8	-6	14

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Quadratic twists for elliptic curve 22320bl2

-4	8	-3	5
2790x2	89280fk2	7440n2	111600eh2

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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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