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	455b	Isogeny class
Conductor	455	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	374712065 = 5 · 78 · 13	Discriminant
Eigenvalues	-1  0 5- 7+  0 13- -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-397,-2796]	[a1,a2,a3,a4,a6]
Generators	[-11:17:1]	Generators of the group modulo torsion
j	6903498885921/374712065	j-invariant
L	1.3274338885416	L(r)(E,1)/r!
Ω	1.0733789376966	Real period
R	2.4733742053673	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	7280w3 29120a4 4095g3 2275c3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 455b3

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	-	-6	0	-4	-2	-4	-10	2	-8	0	-2	0	-2	-4	12	-6	8	4	2	-14

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Quadratic twists for elliptic curve 455b3

-4	8	-3	5	-7	-11	13
7280w3	29120a4	4095g3	2275c3	3185a3	55055q4	5915a3

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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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