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	2550be	Isogeny class
Conductor	2550	Conductor
∏ cp	125	Product of Tamagawa factors cp
deg	3600	Modular degree for the optimal curve
Δ	276020200800 = 25 · 35 · 52 · 175	Discriminant
Eigenvalues	2- 3- 5+  3 -3  4 17- -5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1628,432]	[a1,a2,a3,a4,a6]
j	19088138515945/11040808032	j-invariant
L	4.1402535909366	L(r)(E,1)/r!
Ω	0.82805071818731	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	5	Number of elements in the torsion subgroup
Twists	20400ci1 81600bf1 7650r1 2550f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2550be1

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
-	-	+	3	-3	4	-	-5	4	0	7	3	2	-1	3	-11	0	2	13	2	-6	-5	-16	-10	-2

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Quadratic twists for elliptic curve 2550be1

-4	8	-3	5	-7	17
20400ci1	81600bf1	7650r1	2550f2	124950fd1	43350cg1

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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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