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	9680l	Isogeny class
Conductor	9680	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	17280	Modular degree for the optimal curve
Δ	-2791309312000 = -1 · 224 · 53 · 113	Discriminant
Eigenvalues	2- -2 5+  0 11+  6  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-3296,107380]	[a1,a2,a3,a4,a6]
j	-726572699/512000	j-invariant
L	1.485434901198	L(r)(E,1)/r!
Ω	0.742717450599	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	1210h1 38720cw1 87120ez1 48400bo1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9680l1

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

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Quadratic twists for elliptic curve 9680l1

-4	8	-3	5	-11
1210h1	38720cw1	87120ez1	48400bo1	9680m1

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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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