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	9680j	Isogeny class
Conductor	9680	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	-13310000 = -1 · 24 · 54 · 113	Discriminant
Eigenvalues	2-  0 5+  4 11+ -4  4  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-88,363]	[a1,a2,a3,a4,a6]
j	-3538944/625	j-invariant
L	2.1525720460878	L(r)(E,1)/r!
Ω	2.1525720460878	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	2420b1 38720cn1 87120fg1 48400bj1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9680j1

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

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Quadratic twists for elliptic curve 9680j1

-4	8	-3	5	-11
2420b1	38720cn1	87120fg1	48400bj1	9680k1

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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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