Cremona's table of elliptic curves

118 = 2 · 59

Field	Data	Notes
Atkin-Lehner	2+ 59+	Signs for the Atkin-Lehner involutions
Conductor	118	Conductor
Count	1	Number of curves in isogeny class
Curves	118a1	Curves in isogeny class
deg	4	Modular degree for the optimal curve
Eigenvalues	2+ -1 -3 -1 -2 -2 -2  3	Hecke eigenvalues for primes less than 20
L	0.73110830800221	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	944i 3776g 1062l 2950l	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 118a

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	-2	-2	-2	3	0	-1	10	-12	7	-6	-6	-11	+	-12	10	4	12	-15	-14	4	0

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Quadratic twists for isogeny class 118a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	-59
944i	3776g	1062l	2950l	5782c	14278f	19942j	34102e	42598g	62422b	99238i	113398a	6962j

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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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