Cremona's table of elliptic curves

158 = 2 · 79

Field	Data	Notes
Atkin-Lehner	2+ 79-	Signs for the Atkin-Lehner involutions
Class	158d	Isogeny class
Conductor	158	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	20709376 = 218 · 79	Discriminant
Eigenvalues	2+  1  3 -1  0  5  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-5217,-145452]	[a1,a2,a3,a4,a6]
j	15698803397448457/20709376	j-invariant
L	1.123529159023	L(r)(E,1)/r!
Ω	0.56176457951151	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	1264b3 5056i3 1422i3 3950h3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 158d2

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 elliptic curve 158d2

-4	8	-3	5	-7	-11	13	17	-19	-23	-79
1264b3	5056i3	1422i3	3950h3	7742g3	19118e3	26702j3	45662c3	57038n3	83582d3	12482d3

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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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