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	1495c	Isogeny class
Conductor	1495	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-1521973998936235 = -1 · 5 · 132 · 239	Discriminant
Eigenvalues	0 -2 5- -1  0 13-  3  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-88535,-10341429]	[a1,a2,a3,a4,a6]
Generators	[2842:14231:8]	Generators of the group modulo torsion
j	-76749153178275905536/1521973998936235	j-invariant
L	1.7617745296046	L(r)(E,1)/r!
Ω	0.13822291018057	Real period
R	6.3729468845038	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	23920w3 95680d3 13455e3 7475a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1495c3

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
0	-2	-	-1	0	-	3	2	+	-9	5	-7	3	8	-6	-9	9	8	-13	3	-16	-10	3	6	-10

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Quadratic twists for elliptic curve 1495c3

-4	8	-3	5	-7	13	-23
23920w3	95680d3	13455e3	7475a3	73255c3	19435a3	34385b3

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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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