Cremona's table of elliptic curves

2555 = 5 · 7 · 73

Field	Data	Notes
Atkin-Lehner	5+ 7+ 73+	Signs for the Atkin-Lehner involutions
Class	2555b	Isogeny class
Conductor	2555	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	400	Modular degree for the optimal curve
Δ	-186515 = -1 · 5 · 7 · 732	Discriminant
Eigenvalues	2  1 5+ 7+  3 -5 -3 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-26,-65]	[a1,a2,a3,a4,a6]
Generators	[298:1821:8]	Generators of the group modulo torsion
j	-2019487744/186515	j-invariant
L	6.1731480327487	L(r)(E,1)/r!
Ω	1.0482526431429	Real period
R	2.9444943798283	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	40880r1 22995g1 12775i1 17885u1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2555b1

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
2	1	+	+	3	-5	-3	-6	0	-7	2	2	10	8	-9	6	10	0	8	0	+	-13	-4	-10	-5

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Quadratic twists for elliptic curve 2555b1

-4	-3	5	-7
40880r1	22995g1	12775i1	17885u1

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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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