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	-7086244000000 = -1 · 28 · 56 · 116	Discriminant
Eigenvalues	2-  2 5+  2 11- -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4396,-168804]	[a1,a2,a3,a4,a6]
Generators	[188707008969570:-3723346968639661:469097433000]	Generators of the group modulo torsion
j	-20720464/15625	j-invariant
L	6.1350592935783	L(r)(E,1)/r!
Ω	0.2838603822147	Real period
R	21.612946638457	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	2420e4 38720dn4 87120fz4 48400cn4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9680t4

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 9680t4

-4	8	-3	5	-11
2420e4	38720dn4	87120fz4	48400cn4	80b3

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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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