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	9680t	Isogeny class
Conductor	9680	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-11337990400 = -1 · 28 · 52 · 116	Discriminant
Eigenvalues	2-  2 5+  2 11- -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,444,3500]	[a1,a2,a3,a4,a6]
Generators	[86334:1726307:216]	Generators of the group modulo torsion
j	21296/25	j-invariant
L	6.1350592935783	L(r)(E,1)/r!
Ω	0.8515811466441	Real period
R	7.2043155461523	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2420e2 38720dn2 87120fz2 48400cn2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9680t2

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

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Quadratic twists for elliptic curve 9680t2

-4	8	-3	5	-11
2420e2	38720dn2	87120fz2	48400cn2	80b1

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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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