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	9680ba	Isogeny class
Conductor	9680	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-5030609294458880 = -1 · 236 · 5 · 114	Discriminant
Eigenvalues	2- -1 5-  1 11- -4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,38680,-1765520]	[a1,a2,a3,a4,a6]
j	106718863559/83886080	j-invariant
L	1.4408341136039	L(r)(E,1)/r!
Ω	0.24013901893398	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1210e2 38720bv2 87120ef2 48400bw2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9680ba2

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
-	-1	-	1	-	-4	0	4	0	-6	10	8	-3	1	-9	-12	-6	11	1	6	8	-14	12	-15	8

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Quadratic twists for elliptic curve 9680ba2

-4	8	-3	5	-11
1210e2	38720bv2	87120ef2	48400bw2	9680bb2

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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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