Cremona's table of elliptic curves

158 = 2 · 79

Field	Data	Notes
Atkin-Lehner	2- 79+	Signs for the Atkin-Lehner involutions
Class	158c	Isogeny class
Conductor	158	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	49232902384 = 24 · 795	Discriminant
Eigenvalues	2- -1  1  3  2 -1 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-23380,-1385691]	[a1,a2,a3,a4,a6]
j	1413378216646643521/49232902384	j-invariant
L	1.5443624383088	L(r)(E,1)/r!
Ω	0.3860906095772	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	1264e2 5056b2 1422b2 3950a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 158c2

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	-1	-2	0	-6	-10	2	-2	2	4	3	4	5	12	8	-13	-6	+	-6	-15	13

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Quadratic twists for elliptic curve 158c2

-4	8	-3	5	-7	-11	13	17	-19	-23	-79
1264e2	5056b2	1422b2	3950a2	7742l2	19118c2	26702a2	45662p2	57038f2	83582n2	12482g2

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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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