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	3	Number of curves in isogeny class
Curves	158d1 158d2 158d3	Curves in isogeny class
deg	40	Modular degree for the optimal curve
Eigenvalues	2+  1  3 -1  0  5  0  2	Hecke eigenvalues for primes less than 20
L	1.123529159023	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1264b 5056i 1422i 3950h	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 158d

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	0	5	0	2	-6	0	-4	2	-12	8	-9	6	-9	8	-4	-9	2	-	18	9	17

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Quadratic twists for isogeny class 158d

-4	8	-3	5	-7	-11	13	17	-19	-23	-79
1264b	5056i	1422i	3950h	7742g	19118e	26702j	45662c	57038n	83582d	12482d

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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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