Cremona's table of elliptic curves

2255 = 5 · 11 · 41

Field	Data	Notes
Atkin-Lehner	5- 11- 41-	Signs for the Atkin-Lehner involutions
Class	2255a	Isogeny class
Conductor	2255	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-43943570605 = -1 · 5 · 118 · 41	Discriminant
Eigenvalues	-1  0 5-  4 11- -6  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,788,-5596]	[a1,a2,a3,a4,a6]
j	54177498820719/43943570605	j-invariant
L	1.2635155024919	L(r)(E,1)/r!
Ω	0.63175775124594	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	36080r3 20295i4 11275b4 110495a3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2255a4

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
-1	0	-	4	-	-6	6	4	0	-2	8	-2	-	-4	4	-6	12	-2	0	0	2	-8	12	2	-18

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Quadratic twists for elliptic curve 2255a4

-4	-3	5	-7	-11	41
36080r3	20295i4	11275b4	110495a3	24805d3	92455h3

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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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