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	18	Product of Tamagawa factors cp
deg	720	Modular degree for the optimal curve
Δ	-7591796875 = -1 · 59 · 132 · 23	Discriminant
Eigenvalues	0 -2 5- -1  0 13-  3  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-585,6681]	[a1,a2,a3,a4,a6]
Generators	[-5:97:1]	Generators of the group modulo torsion
j	-22178567028736/7591796875	j-invariant
L	1.7617745296046	L(r)(E,1)/r!
Ω	1.2440061916251	Real period
R	0.70810520938931	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	23920w1 95680d1 13455e1 7475a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1495c1

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 1495c1

-4	8	-3	5	-7	13	-23
23920w1	95680d1	13455e1	7475a1	73255c1	19435a1	34385b1

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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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