Cremona's table of elliptic curves

2550 = 2 · 3 · 5² · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 17-	Signs for the Atkin-Lehner involutions
Class	2550v	Isogeny class
Conductor	2550	Conductor
∏ cp	216	Product of Tamagawa factors cp
Δ	181112832000000 = 218 · 32 · 56 · 173	Discriminant
Eigenvalues	2- 3+ 5+ -2  0 -2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-18763,-755719]	[a1,a2,a3,a4,a6]
Generators	[755:-20778:1]	Generators of the group modulo torsion
j	46753267515625/11591221248	j-invariant
L	3.8538315556177	L(r)(E,1)/r!
Ω	0.41532204632053	Real period
R	0.17183593228971	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	20400dk3 81600dw3 7650p3 102c3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2550v3

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	0	-2	-	-4	6	0	-10	-8	6	4	-12	-6	-12	8	4	6	-2	-10	-12	-18	-14

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Quadratic twists for elliptic curve 2550v3

-4	8	-3	5	-7	17
20400dk3	81600dw3	7650p3	102c3	124950hi3	43350cy3

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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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