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	2550b	Isogeny class
Conductor	2550	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	81281250 = 2 · 32 · 56 · 172	Discriminant
Eigenvalues	2+ 3+ 5+  0 -4  2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-693600,-222626250]	[a1,a2,a3,a4,a6]
Generators	[1775:63475:1]	Generators of the group modulo torsion
j	2361739090258884097/5202	j-invariant
L	2.0222602930339	L(r)(E,1)/r!
Ω	0.16543302156772	Real period
R	6.112021269605	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	20400cx5 81600cn6 7650bz5 102b5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2550b5

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
+	+	+	0	-4	2	+	4	0	-10	8	2	10	-12	0	-6	12	-10	12	0	-10	-8	-4	-6	14

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Quadratic twists for elliptic curve 2550b5

-4	8	-3	5	-7	17
20400cx5	81600cn6	7650bz5	102b5	124950de6	43350ba6

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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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