Cremona's table of elliptic curves

2964 = 2² · 3 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 13- 19-	Signs for the Atkin-Lehner involutions
Class	2964f	Isogeny class
Conductor	2964	Conductor
∏ cp	72	Product of Tamagawa factors cp
deg	3456	Modular degree for the optimal curve
Δ	-436853005056 = -1 · 28 · 312 · 132 · 19	Discriminant
Eigenvalues	2- 3- -3 -1  3 13- -3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-3957,99639]	[a1,a2,a3,a4,a6]
Generators	[-6:351:1]	Generators of the group modulo torsion
j	-26772667629568/1706457051	j-invariant
L	3.3599472236212	L(r)(E,1)/r!
Ω	0.92645887540486	Real period
R	0.4533319439237	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	11856v1 47424h1 8892p1 74100c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2964f1

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	-1	3	-	-3	-	0	0	-10	-4	6	-7	9	0	0	-1	2	0	-1	-10	-12	6	8

---

Quadratic twists for elliptic curve 2964f1

-4	8	-3	5	13	-19
11856v1	47424h1	8892p1	74100c1	38532l1	56316f1

---

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