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	2550bd	Isogeny class
Conductor	2550	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-731531250 = -1 · 2 · 34 · 56 · 172	Discriminant
Eigenvalues	2- 3- 5+  2  0  6 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,187,867]	[a1,a2,a3,a4,a6]
j	46268279/46818	j-invariant
L	4.2287299591203	L(r)(E,1)/r!
Ω	1.0571824897801	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	20400ch2 81600bb2 7650o2 102a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2550bd2

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	6	-	4	-6	-4	-6	4	-10	4	-4	2	12	-4	12	-6	-2	10	12	-2	-6

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Quadratic twists for elliptic curve 2550bd2

-4	8	-3	5	-7	17
20400ch2	81600bb2	7650o2	102a2	124950ew2	43350cd2

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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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