Cremona's table of elliptic curves

2610 = 2 · 3² · 5 · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 29+	Signs for the Atkin-Lehner involutions
Class	2610m	Isogeny class
Conductor	2610	Conductor
∏ cp	360	Product of Tamagawa factors cp
Δ	25537472888832000 = 230 · 38 · 53 · 29	Discriminant
Eigenvalues	2- 3- 5-  2  6 -4  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-295592,61450859]	[a1,a2,a3,a4,a6]
j	3918075806073018169/35030827008000	j-invariant
L	3.7880832197107	L(r)(E,1)/r!
Ω	0.37880832197107	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	20880ck3 83520bm3 870b3 13050i3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2610m3

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
-	-	-	2	6	-4	6	-4	0	+	2	2	0	-4	0	-6	12	-4	8	0	2	-10	-18	0	-10

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Quadratic twists for elliptic curve 2610m3

-4	8	-3	5	-7	29
20880ck3	83520bm3	870b3	13050i3	127890ey3	75690p3

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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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