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	2	Product of Tamagawa factors cp
Δ	24990875 = 53 · 7 · 134	Discriminant
Eigenvalues	1  0 5+ 7+  0 13+ -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-4670,-121675]	[a1,a2,a3,a4,a6]
Generators	[177564:1102837:1728]	Generators of the group modulo torsion
j	11264882429818809/24990875	j-invariant
L	2.1253916593497	L(r)(E,1)/r!
Ω	0.57751867607437	Real period
R	7.3604257226689	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7280q3 29120r4 4095j3 2275d3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 455a3

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 455a3

-4	8	-3	5	-7	-11	13
7280q3	29120r4	4095j3	2275d3	3185h3	55055h4	5915k3

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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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