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	316 = 22 · 79	Discriminant
Eigenvalues	2+  1  3 -1  0  5  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-47,118]	[a1,a2,a3,a4,a6]
j	11134383337/316	j-invariant
L	1.123529159023	L(r)(E,1)/r!
Ω	5.0558812156036	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	1264b1 5056i1 1422i1 3950h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 158d3

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 158d3

-4	8	-3	5	-7	-11	13	17	-19	-23	-79
1264b1	5056i1	1422i1	3950h1	7742g1	19118e1	26702j1	45662c1	57038n1	83582d1	12482d1

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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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