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	1062g	Isogeny class
Conductor	1062	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	128	Modular degree for the optimal curve
Δ	407808 = 28 · 33 · 59	Discriminant
Eigenvalues	2- 3+  0 -4 -4 -2 -4  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-20,-9]	[a1,a2,a3,a4,a6]
Generators	[-3:5:1]	Generators of the group modulo torsion
j	31255875/15104	j-invariant
L	3.222880800219	L(r)(E,1)/r!
Ω	2.3786855332981	Real period
R	0.33872497594821	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	8496j1 33984a1 1062a1 26550e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1062g1

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	-4	-4	-2	-4	0	0	4	-2	-6	8	-6	0	8	-	-6	-2	-4	6	0	-4	2	-18

---

Quadratic twists for elliptic curve 1062g1

-4	8	-3	5	-7	-11	-59
8496j1	33984a1	1062a1	26550e1	52038x1	128502f1	62658a1

---

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