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	1062d	Isogeny class
Conductor	1062	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	360	Modular degree for the optimal curve
Δ	-44043264 = -1 · 210 · 36 · 59	Discriminant
Eigenvalues	2+ 3- -1  3 -2 -6  2 -5	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-225,-1283]	[a1,a2,a3,a4,a6]
Generators	[18:7:1]	Generators of the group modulo torsion
j	-1732323601/60416	j-invariant
L	1.8979559440269	L(r)(E,1)/r!
Ω	0.61495612508431	Real period
R	1.5431637043754	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	8496o1 33984k1 118b1 26550cd1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1062d1

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
+	-	-1	3	-2	-6	2	-5	-4	5	2	8	-7	-6	2	-9	-	-8	-2	-12	4	5	-14	0	8

---

Quadratic twists for elliptic curve 1062d1

-4	8	-3	5	-7	-11	-59
8496o1	33984k1	118b1	26550cd1	52038j1	128502bz1	62658v1

---

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