Cremona's table of elliptic curves

158 = 2 · 79

Field	Data	Notes
Atkin-Lehner	2- 79-	Signs for the Atkin-Lehner involutions
Conductor	158	Conductor
Count	1	Number of curves in isogeny class
Curves	158a1	Curves in isogeny class
deg	32	Modular degree for the optimal curve
Eigenvalues	2- -3 -3 -3 -2 -5  6  0	Hecke eigenvalues for primes less than 20
L	1.117214632242	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1264d 5056k 1422d 3950f	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 158a

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
-	-3	-3	-3	-2	-5	6	0	-2	6	-10	-10	2	4	-3	-12	-1	12	-8	-3	-6	-	14	-7	-11

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Quadratic twists for isogeny class 158a

-4	8	-3	5	-7	-11	13	17	-19	-23	-79
1264d	5056k	1422d	3950f	7742n	19118b	26702f	45662o	57038e	83582m	12482i

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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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