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	2550b	Isogeny class
Conductor	2550	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-45737141062500 = -1 · 22 · 316 · 56 · 17	Discriminant
Eigenvalues	2+ 3+ 5+  0 -4  2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,5650,-279000]	[a1,a2,a3,a4,a6]
Generators	[45:240:1]	Generators of the group modulo torsion
j	1276229915423/2927177028	j-invariant
L	2.0222602930339	L(r)(E,1)/r!
Ω	0.33086604313545	Real period
R	3.0560106348025	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	20400cx4 81600cn3 7650bz4 102b4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2550b4

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

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Quadratic twists for elliptic curve 2550b4

-4	8	-3	5	-7	17
20400cx4	81600cn3	7650bz4	102b4	124950de3	43350ba3

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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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