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	9680bd	Isogeny class
Conductor	9680	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	5760	Modular degree for the optimal curve
Δ	17148710480 = 24 · 5 · 118	Discriminant
Eigenvalues	2- -2 5-  0 11-  0  4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-645,130]	[a1,a2,a3,a4,a6]
j	1048576/605	j-invariant
L	1.0481920267789	L(r)(E,1)/r!
Ω	1.0481920267789	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2420f1 38720ce1 87120dx1 48400ce1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9680bd1

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	-	0	4	-4	-6	-2	0	-6	10	4	-10	2	4	14	-2	-4	4	-8	12	6	6

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Quadratic twists for elliptic curve 9680bd1

-4	8	-3	5	-11
2420f1	38720ce1	87120dx1	48400ce1	880h1

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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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