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	2158a	Isogeny class
Conductor	2158	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	-45853184 = -1 · 29 · 13 · 832	Discriminant
Eigenvalues	2+  1 -1  3  2 13-  5  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-39,-342]	[a1,a2,a3,a4,a6]
j	-6321363049/45853184	j-invariant
L	1.6973345823519	L(r)(E,1)/r!
Ω	0.84866729117594	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	17264e1 69056f1 19422y1 53950u1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2158a1

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	-	5	2	6	-4	0	-11	6	13	1	6	12	-12	-14	15	4	14	+	0	2

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Quadratic twists for elliptic curve 2158a1

-4	8	-3	5	-7	13
17264e1	69056f1	19422y1	53950u1	105742d1	28054g1

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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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