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	2550d	Isogeny class
Conductor	2550	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-22628970937500 = -1 · 22 · 3 · 57 · 176	Discriminant
Eigenvalues	2+ 3+ 5+ -2  0  4 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-81875,-9054375]	[a1,a2,a3,a4,a6]
j	-3884775383991601/1448254140	j-invariant
L	0.8466863892446	L(r)(E,1)/r!
Ω	0.14111439820743	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	20400dl3 81600dy3 7650bw3 510g3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2550d3

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	0	4	-	-4	0	6	-4	-2	0	-2	0	6	6	-10	-2	-6	16	8	0	6	4

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Quadratic twists for elliptic curve 2550d3

-4	8	-3	5	-7	17
20400dl3	81600dy3	7650bw3	510g3	124950cq3	43350bc3

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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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