Cremona's table of elliptic curves

2158 = 2 · 13 · 83

Field	Data	Notes
Atkin-Lehner	2- 13- 83+	Signs for the Atkin-Lehner involutions
Class	2158d	Isogeny class
Conductor	2158	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	-897728 = -1 · 26 · 132 · 83	Discriminant
Eigenvalues	2-  1 -4  3 -1 13- -7 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,15,41]	[a1,a2,a3,a4,a6]
Generators	[4:11:1]	Generators of the group modulo torsion
j	371694959/897728	j-invariant
L	4.3368596542953	L(r)(E,1)/r!
Ω	1.9545823345814	Real period
R	0.18490138010414	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	17264f1 69056g1 19422h1 53950g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2158d1

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	-4	3	-1	-	-7	-4	0	-1	-9	1	-6	10	4	-6	-3	-9	4	6	-14	2	+	-12	8

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Quadratic twists for elliptic curve 2158d1

-4	8	-3	5	-7	13
17264f1	69056g1	19422h1	53950g1	105742i1	28054b1

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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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