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	2550l	Isogeny class
Conductor	2550	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	336	Modular degree for the optimal curve
Δ	163200 = 27 · 3 · 52 · 17	Discriminant
Eigenvalues	2+ 3- 5+  1 -3 -4 17- -5	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-21,-32]	[a1,a2,a3,a4,a6]
Generators	[-2:2:1]	Generators of the group modulo torsion
j	38226865/6528	j-invariant
L	2.8331899895259	L(r)(E,1)/r!
Ω	2.2692328080535	Real period
R	1.2485232804104	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	20400ce1 81600z1 7650bu1 2550w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2550l1

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	-3	-4	-	-5	8	-4	-3	-7	2	-1	-7	7	-8	-2	-11	-6	-2	-15	16	2	10

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Quadratic twists for elliptic curve 2550l1

-4	8	-3	5	-7	17
20400ce1	81600z1	7650bu1	2550w1	124950p1	43350c1

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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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