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	1062f	Isogeny class
Conductor	1062	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	12672	Modular degree for the optimal curve
Δ	3550837003517952 = 222 · 315 · 59	Discriminant
Eigenvalues	2+ 3- -4  0  4  0  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-211599,37407469]	[a1,a2,a3,a4,a6]
Generators	[329:1658:1]	Generators of the group modulo torsion
j	1437269372537979889/4870832652288	j-invariant
L	1.6221346961937	L(r)(E,1)/r!
Ω	0.44621113011322	Real period
R	1.8176761926379	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	8496t1 33984r1 354e1 26550bs1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1062f1

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	4	0	2	4	-4	-4	-10	-4	2	-12	-4	0	-	4	-8	-6	-14	8	4	18	14

---

Quadratic twists for elliptic curve 1062f1

-4	8	-3	5	-7	-11	-59
8496t1	33984r1	354e1	26550bs1	52038r1	128502ch1	62658bb1

---

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