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
deg	480	Modular degree for the optimal curve
Δ	3100625 = 54 · 112 · 41	Discriminant
Eigenvalues	-1  0 5-  4 11- -6  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-112,474]	[a1,a2,a3,a4,a6]
j	154076860881/3100625	j-invariant
L	1.2635155024919	L(r)(E,1)/r!
Ω	2.5270310049837	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	36080r1 20295i1 11275b1 110495a1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2255a1

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 2255a1

-4	-3	5	-7	-11	41
36080r1	20295i1	11275b1	110495a1	24805d1	92455h1

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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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