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	20	Product of Tamagawa factors cp
deg	48	Modular degree for the optimal curve
Δ	82837504 = 220 · 79	Discriminant
Eigenvalues	2- -1  1  3  2 -1 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-420,3109]	[a1,a2,a3,a4,a6]
j	8194759433281/82837504	j-invariant
L	1.5443624383088	L(r)(E,1)/r!
Ω	1.930453047886	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	5	Number of elements in the torsion subgroup
Twists	1264e1 5056b1 1422b1 3950a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 158c1

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 158c1

-4	8	-3	5	-7	-11	13	17	-19	-23	-79
1264e1	5056b1	1422b1	3950a1	7742l1	19118c1	26702a1	45662p1	57038f1	83582n1	12482g1

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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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