Cremona's table of elliptic curves

158 = 2 · 79

Field	Data	Notes
Atkin-Lehner	2- 79-	Signs for the Atkin-Lehner involutions
Class	158a	Isogeny class
Conductor	158	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	32	Modular degree for the optimal curve
Δ	20224 = 28 · 79	Discriminant
Eigenvalues	2- -3 -3 -3 -2 -5  6  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-9,9]	[a1,a2,a3,a4,a6]
Generators	[-1:4:1]	Generators of the group modulo torsion
j	72511713/20224	j-invariant
L	1.117214632242	L(r)(E,1)/r!
Ω	3.5817087724721	Real period
R	0.038990280310776	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1264d1 5056k1 1422d1 3950f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 158a1

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 elliptic curve 158a1

-4	8	-3	5	-7	-11	13	17	-19	-23	-79
1264d1	5056k1	1422d1	3950f1	7742n1	19118b1	26702f1	45662o1	57038e1	83582m1	12482i1

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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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