Cremona's table of elliptic curves

1495 = 5 · 13 · 23

Field	Data	Notes
Atkin-Lehner	5+ 13+ 23+	Signs for the Atkin-Lehner involutions
Class	1495a	Isogeny class
Conductor	1495	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	360	Modular degree for the optimal curve
Δ	790855 = 5 · 13 · 233	Discriminant
Eigenvalues	-1  1 5+ -1  2 13+  5  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1101,13970]	[a1,a2,a3,a4,a6]
Generators	[19:-9:1]	Generators of the group modulo torsion
j	147608144916049/790855	j-invariant
L	1.9661159445485	L(r)(E,1)/r!
Ω	2.5121482619461	Real period
R	0.78264327561044	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	23920i1 95680x1 13455k1 7475d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1495a1

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	+	-1	2	+	5	0	+	-1	5	-8	0	-8	-2	2	-3	-4	5	-12	-3	-15	-1	-13	-14

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Quadratic twists for elliptic curve 1495a1

-4	8	-3	5	-7	13	-23
23920i1	95680x1	13455k1	7475d1	73255p1	19435c1	34385h1

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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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