Cremona's table of elliptic curves

118976 = 2⁶ · 11 · 13²

Field	Data	Notes
Atkin-Lehner	2+ 11+ 13+	Signs for the Atkin-Lehner involutions
Class	118976m	Isogeny class
Conductor	118976	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	147456	Modular degree for the optimal curve
Δ	-343077289984 = -1 · 224 · 112 · 132	Discriminant
Eigenvalues	2+  2  3 -2 11+ 13+ -3  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1889,42977]	[a1,a2,a3,a4,a6]
Generators	[723:-2816:27]	Generators of the group modulo torsion
j	-16835377/7744	j-invariant
L	11.776908453898	L(r)(E,1)/r!
Ω	0.89702033620185	Real period
R	1.6411150257276	Regulator
r	1	Rank of the group of rational points
S	1.0000000031338	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	118976dm1 3718k1 118976bk1	Quadratic twists by: -4 8 13

Hecke Eigenvalues for elliptic curve 118976m1

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	3	-2	+	+	-3	2	0	3	-8	11	-9	4	6	-3	6	7	14	-12	7	-10	6	-6	10

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Quadratic twists for elliptic curve 118976m1

-4	8	13
118976dm1	3718k1	118976bk1

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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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