Cremona's table of elliptic curves

455 = 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	5+ 7+ 13+	Signs for the Atkin-Lehner involutions
Class	455a	Isogeny class
Conductor	455	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	129390625 = 56 · 72 · 132	Discriminant
Eigenvalues	1  0 5+ 7+  0 13+ -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-295,-1800]	[a1,a2,a3,a4,a6]
Generators	[-82:107:8]	Generators of the group modulo torsion
j	2844576388809/129390625	j-invariant
L	2.1253916593497	L(r)(E,1)/r!
Ω	1.1550373521487	Real period
R	3.6802128613344	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	7280q2 29120r2 4095j2 2275d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 455a2

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	0	+	+	0	+	-2	-4	0	-2	0	2	6	-4	-8	6	-4	-10	12	4	-10	0	12	-18	-2

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Quadratic twists for elliptic curve 455a2

-4	8	-3	5	-7	-11	13
7280q2	29120r2	4095j2	2275d2	3185h2	55055h2	5915k2

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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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