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	2550u	Isogeny class
Conductor	2550	Conductor
∏ cp	45	Product of Tamagawa factors cp
Δ	12074188800 = 215 · 3 · 52 · 173	Discriminant
Eigenvalues	2- 3+ 5+  1 -3 -2 17- -7	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-663,-4179]	[a1,a2,a3,a4,a6]
Generators	[-9:38:1]	Generators of the group modulo torsion
j	1289333385625/482967552	j-invariant
L	4.021005275614	L(r)(E,1)/r!
Ω	0.97073110443523	Real period
R	0.092049870848024	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	20400di2 81600dn2 7650n2 2550n2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2550u2

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	-2	-	-7	-6	6	-7	7	-6	1	-9	3	0	-10	-5	-6	16	17	6	-12	10

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Quadratic twists for elliptic curve 2550u2

-4	8	-3	5	-7	17
20400di2	81600dn2	7650n2	2550n2	124950hm2	43350cw2

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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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