Cremona's table of elliptic curves

1062 = 2 · 3² · 59

Field	Data	Notes
Atkin-Lehner	2- 3- 59+	Signs for the Atkin-Lehner involutions
Class	1062h	Isogeny class
Conductor	1062	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	18580752 = 24 · 39 · 59	Discriminant
Eigenvalues	2- 3- -2  0 -4 -6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-311,2175]	[a1,a2,a3,a4,a6]
Generators	[-7:66:1]	Generators of the group modulo torsion
j	4549540393/25488	j-invariant
L	3.1564253471045	L(r)(E,1)/r!
Ω	2.1884918818725	Real period
R	1.4422833245348	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	8496v1 33984w1 354d1 26550g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1062h1

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	0	-4	-6	-2	4	-8	-2	8	2	-2	0	-8	6	+	10	-8	12	-14	-16	-4	-6	2

---

Quadratic twists for elliptic curve 1062h1

-4	8	-3	5	-7	-11	-59
8496v1	33984w1	354d1	26550g1	52038bq1	128502o1	62658i1

---

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