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	2610c	Isogeny class
Conductor	2610	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-104410589422500 = -1 · 22 · 310 · 54 · 294	Discriminant
Eigenvalues	2+ 3- 5+  4  0 -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,11610,-102200]	[a1,a2,a3,a4,a6]
j	237395127814559/143224402500	j-invariant
L	1.3865012083205	L(r)(E,1)/r!
Ω	0.34662530208013	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	20880bw4 83520dc3 870g4 13050bf4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2610c4

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

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Quadratic twists for elliptic curve 2610c4

-4	8	-3	5	-7	29
20880bw4	83520dc3	870g4	13050bf4	127890cl3	75690bf3

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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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