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	192	Product of Tamagawa factors cp
Δ	7544119182336 = 210 · 36 · 112 · 174	Discriminant
Eigenvalues	2+ 3-  2  4 11-  2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-28632,-1869660]	[a1,a2,a3,a4,a6]
j	2535093488117092/7367303889	j-invariant
L	4.4049652020917	L(r)(E,1)/r!
Ω	0.36708043350764	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	4488f2 35904bv2 26928j2 98736bc2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 8976k2

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 8976k2

-4	8	-3	-11
4488f2	35904bv2	26928j2	98736bc2

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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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