Cremona's table of elliptic curves

9620 = 2² · 5 · 13 · 37

Field	Data	Notes
Atkin-Lehner	2- 5+ 13+ 37+	Signs for the Atkin-Lehner involutions
Class	9620a	Isogeny class
Conductor	9620	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-1480710400 = -1 · 28 · 52 · 132 · 372	Discriminant
Eigenvalues	2- -2 5+  0 -6 13+ -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-796,8580]	[a1,a2,a3,a4,a6]
Generators	[-20:130:1] [-13:130:1]	Generators of the group modulo torsion
j	-218156637904/5784025	j-invariant
L	4.1834470873352	L(r)(E,1)/r!
Ω	1.5077107216077	Real period
R	0.46245023745622	Regulator
r	2	Rank of the group of rational points
S	0.99999999999964	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	38480l2 86580h2 48100e2 125060i2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 9620a2

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
-	-2	+	0	-6	+	-2	4	-8	-6	-8	+	2	4	-8	2	-8	-6	-12	-6	-2	10	-12	-2	2

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Quadratic twists for elliptic curve 9620a2

-4	-3	5	13
38480l2	86580h2	48100e2	125060i2

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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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