Cremona's table of elliptic curves

2261 = 7 · 17 · 19

Field	Data	Notes
Atkin-Lehner	7- 17+ 19-	Signs for the Atkin-Lehner involutions
Class	2261d	Isogeny class
Conductor	2261	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-1651215083 = -1 · 72 · 173 · 193	Discriminant
Eigenvalues	0  1  0 7-  0  2 17+ 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-2413,-46479]	[a1,a2,a3,a4,a6]
Generators	[57:66:1]	Generators of the group modulo torsion
j	-1554446024704000/1651215083	j-invariant
L	3.0955650760797	L(r)(E,1)/r!
Ω	0.34055524227189	Real period
R	1.5149598321791	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	36176l2 20349k2 56525j2 15827h2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2261d2

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	1	0	-	0	2	+	-	-6	3	-7	2	6	-1	3	0	-12	2	8	-12	-16	-16	-9	6	-13

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Quadratic twists for elliptic curve 2261d2

-4	-3	5	-7	17	-19
36176l2	20349k2	56525j2	15827h2	38437a2	42959h2

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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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