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	2550ba	Isogeny class
Conductor	2550	Conductor
∏ cp	1008	Product of Tamagawa factors cp
deg	24192	Modular degree for the optimal curve
Δ	-12944240640000000 = -1 · 218 · 37 · 57 · 172	Discriminant
Eigenvalues	2- 3- 5+ -2 -4 -4 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-66838,8608292]	[a1,a2,a3,a4,a6]
Generators	[332:-4966:1]	Generators of the group modulo torsion
j	-2113364608155289/828431400960	j-invariant
L	4.9616972300072	L(r)(E,1)/r!
Ω	0.37467061319584	Real period
R	0.052550891446507	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	20400bw1 81600h1 7650x1 510a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2550ba1

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	-4	-4	+	-4	-8	2	4	-6	8	-6	-8	2	-6	14	2	2	-4	0	16	-2	0

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Quadratic twists for elliptic curve 2550ba1

-4	8	-3	5	-7	17
20400bw1	81600h1	7650x1	510a1	124950fz1	43350cb1

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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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