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	2610j	Isogeny class
Conductor	2610	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	1902690000 = 24 · 38 · 54 · 29	Discriminant
Eigenvalues	2- 3- 5+  0  0 -2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-200453,34593581]	[a1,a2,a3,a4,a6]
Generators	[261:-68:1]	Generators of the group modulo torsion
j	1221889220964658441/2610000	j-invariant
L	4.3992277544065	L(r)(E,1)/r!
Ω	0.9649789129296	Real period
R	1.1397212144903	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	20880bq3 83520cs4 870d3 13050f3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2610j3

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	0	-2	-6	0	-8	+	-4	2	-2	4	0	-6	4	14	-12	0	-2	-4	-12	14	-2

---

Quadratic twists for elliptic curve 2610j3

-4	8	-3	5	-7	29
20880bq3	83520cs4	870d3	13050f3	127890fs4	75690d4

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations