Cremona's table of elliptic curves

2562 = 2 · 3 · 7 · 61

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 61-	Signs for the Atkin-Lehner involutions
Class	2562g	Isogeny class
Conductor	2562	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-45151193923584 = -1 · 221 · 3 · 76 · 61	Discriminant
Eigenvalues	2+ 3-  3 7-  0 -4  3  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,8753,-71038]	[a1,a2,a3,a4,a6]
j	74176411544797463/45151193923584	j-invariant
L	2.2242791582661	L(r)(E,1)/r!
Ω	0.37071319304436	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	20496l2 81984q2 7686x2 64050bs2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2562g2

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
+	-	3	-	0	-4	3	2	-3	-6	8	5	6	-1	6	12	0	-	8	9	5	-16	9	15	-19

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Quadratic twists for elliptic curve 2562g2

-4	8	-3	5	-7
20496l2	81984q2	7686x2	64050bs2	17934e2

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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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