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	118976f	Isogeny class
Conductor	118976	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	903168	Modular degree for the optimal curve
Δ	-42046076489990144 = -1 · 215 · 112 · 139	Discriminant
Eigenvalues	2+  1  3 -1 11+ 13+ -5  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-97569,-15360097]	[a1,a2,a3,a4,a6]
Generators	[14608525:416795236:15625]	Generators of the group modulo torsion
j	-649461896/265837	j-invariant
L	9.5403446043736	L(r)(E,1)/r!
Ω	0.13240208512026	Real period
R	9.0069810740202	Regulator
r	1	Rank of the group of rational points
S	1.0000000005934	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	118976bf1 59488w1 9152m1	Quadratic twists by: -4 8 13

Hecke Eigenvalues for elliptic curve 118976f1

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	3	-1	+	+	-5	0	4	8	-8	3	12	9	-3	6	-6	-12	4	-5	4	-10	-16	8	8

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Quadratic twists for elliptic curve 118976f1

-4	8	13
118976bf1	59488w1	9152m1

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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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