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	8976k	Isogeny class
Conductor	8976	Conductor
∏ cp	384	Product of Tamagawa factors cp
Δ	-4605254041208832 = -1 · 211 · 312 · 114 · 172	Discriminant
Eigenvalues	2+ 3-  2  4 11-  2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-17072,-3381708]	[a1,a2,a3,a4,a6]
j	-268702931670626/2248659199809	j-invariant
L	4.4049652020917	L(r)(E,1)/r!
Ω	0.18354021675382	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	4488f4 35904bv3 26928j3 98736bc3	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 8976k4

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	4	-	2	-	-4	4	6	8	-2	-6	-4	-4	2	4	10	-12	4	-14	4	4	-6	2

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Quadratic twists for elliptic curve 8976k4

-4	8	-3	-11
4488f4	35904bv3	26928j3	98736bc3

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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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