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	9680v	Isogeny class
Conductor	9680	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	114048	Modular degree for the optimal curve
Δ	-618121839509504000 = -1 · 221 · 53 · 119	Discriminant
Eigenvalues	2-  1 5- -3 11+  0  3 -3	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-377560,96850708]	[a1,a2,a3,a4,a6]
Generators	[-444:13310:1]	Generators of the group modulo torsion
j	-616295051/64000	j-invariant
L	4.9391202853706	L(r)(E,1)/r!
Ω	0.28173822812919	Real period
R	1.4609070265235	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1210d1 38720br1 87120dw1 48400bl1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9680v1

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
-	1	-	-3	+	0	3	-3	0	9	5	-11	6	12	-6	-3	-12	15	-4	3	-6	-12	-12	9	-10

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Quadratic twists for elliptic curve 9680v1

-4	8	-3	5	-11
1210d1	38720br1	87120dw1	48400bl1	9680u1

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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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