Cremona's table of elliptic curves

8976 = 2⁴ · 3 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 17-	Signs for the Atkin-Lehner involutions
Class	8976bf	Isogeny class
Conductor	8976	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	303316992 = 214 · 32 · 112 · 17	Discriminant
Eigenvalues	2- 3- -2  0 11- -2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-6319104,6111977652]	[a1,a2,a3,a4,a6]
Generators	[194380:868326:125]	Generators of the group modulo torsion
j	6812873765474836663297/74052	j-invariant
L	4.6438490755045	L(r)(E,1)/r!
Ω	0.59196287662863	Real period
R	7.8448315913869	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1122e5 35904bt6 26928bc6 98736dc6	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 8976bf5

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	0	-	-2	-	4	0	-2	8	-10	-6	-4	-8	6	12	-10	-4	-16	2	8	12	10	2

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Quadratic twists for elliptic curve 8976bf5

-4	8	-3	-11
1122e5	35904bt6	26928bc6	98736dc6

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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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