Cremona's table of elliptic curves

9680 = 2⁴ · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 5- 11-	Signs for the Atkin-Lehner involutions
Class	9680g	Isogeny class
Conductor	9680	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	103749698404000000 = 28 · 56 · 1110	Discriminant
Eigenvalues	2+  0 5-  4 11- -6  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-610687,183031134]	[a1,a2,a3,a4,a6]
Generators	[718:10710:1]	Generators of the group modulo torsion
j	55537159171536/228765625	j-invariant
L	5.0769837203158	L(r)(E,1)/r!
Ω	0.33704039431433	Real period
R	5.0211426740548	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	4840h2 38720bt2 87120bj2 48400n2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9680g2

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

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Quadratic twists for elliptic curve 9680g2

-4	8	-3	5	-11
4840h2	38720bt2	87120bj2	48400n2	880c2

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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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