Cremona's table of elliptic curves

118 = 2 · 59

Field	Data	Notes
Atkin-Lehner	2- 59+	Signs for the Atkin-Lehner involutions
Class	118b	Isogeny class
Conductor	118	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-2859697196 = -1 · 22 · 595	Discriminant
Eigenvalues	2- -1  1  3  2 -6 -2 -5	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,115,-2481]	[a1,a2,a3,a4,a6]
j	168105213359/2859697196	j-invariant
L	1.3953806318622	L(r)(E,1)/r!
Ω	0.69769031593111	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	944h2 3776f2 1062d2 2950a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 118b2

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	1	3	2	-6	-2	-5	4	-5	2	8	7	-6	-2	9	+	-8	-2	12	4	5	14	0	8

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Quadratic twists for elliptic curve 118b2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	-59
944h2	3776f2	1062d2	2950a2	5782h2	14278a2	19942c2	34102m2	42598b2	62422f2	99238a2	113398e2	6962c2

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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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