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	34544531250 = 2 · 32 · 58 · 173	Discriminant
Eigenvalues	2+ 3+ 5+ -2  0  4 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-1310125,-577734125]	[a1,a2,a3,a4,a6]
j	15916310615119911121/2210850	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	20400dl4 81600dy4 7650bw4 510g4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2550d4

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 2550d4

-4	8	-3	5	-7	17
20400dl4	81600dy4	7650bw4	510g4	124950cq4	43350bc4

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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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