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	9680g	Isogeny class
Conductor	9680	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	69120	Modular degree for the optimal curve
Δ	428717762000 = 24 · 53 · 118	Discriminant
Eigenvalues	2+  0 5-  4 11- -6  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-610082,183413131]	[a1,a2,a3,a4,a6]
Generators	[1826:59895:8]	Generators of the group modulo torsion
j	885956203616256/15125	j-invariant
L	5.0769837203158	L(r)(E,1)/r!
Ω	0.67408078862866	Real period
R	2.5105713370274	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	4840h1 38720bt1 87120bj1 48400n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9680g1

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	-	-6	6	4	-4	2	-8	-10	-10	0	-4	-10	4	2	8	0	14	-16	-8	-6	2

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Quadratic twists for elliptic curve 9680g1

-4	8	-3	5	-11
4840h1	38720bt1	87120bj1	48400n1	880c1

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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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