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	2550h	Isogeny class
Conductor	2550	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-98096589014062500 = -1 · 22 · 32 · 58 · 178	Discriminant
Eigenvalues	2+ 3- 5+  0  4  2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,76499,12685148]	[a1,a2,a3,a4,a6]
j	3168685387909439/6278181696900	j-invariant
L	1.8612915214025	L(r)(E,1)/r!
Ω	0.23266144017532	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	20400bt6 81600c5 7650ca6 510e6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2550h6

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

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Quadratic twists for elliptic curve 2550h6

-4	8	-3	5	-7	17
20400bt6	81600c5	7650ca6	510e6	124950z5	43350b5

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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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