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	118976cv	Isogeny class
Conductor	118976	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-49690817669988352 = -1 · 215 · 11 · 1310	Discriminant
Eigenvalues	2-  0  2  4 11- 13+ -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,41236,10229232]	[a1,a2,a3,a4,a6]
Generators	[-5560781583:-83450559275:45499293]	Generators of the group modulo torsion
j	49027896/314171	j-invariant
L	9.0912946856318	L(r)(E,1)/r!
Ω	0.25861969978181	Real period
R	17.576570176875	Regulator
r	1	Rank of the group of rational points
S	1.0000000089049	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	118976bv3 59488n2 9152t4	Quadratic twists by: -4 8 13

Hecke Eigenvalues for elliptic curve 118976cv3

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
-	0	2	4	-	+	-6	-4	8	6	-8	2	-6	-4	-8	2	12	14	12	0	-6	0	4	6	-18

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Quadratic twists for elliptic curve 118976cv3

-4	8	13
118976bv3	59488n2	9152t4

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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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