Atkin-Lehner |
2- 3- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
67860m |
Isogeny class |
Conductor |
67860 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-4261339444321440000 = -1 · 28 · 38 · 54 · 136 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,198537,-93299762] |
[a1,a2,a3,a4,a6] |
Generators |
[539:13050:1] [2163:102254:1] |
Generators of the group modulo torsion |
j |
4637464349653424/22833823325625 |
j-invariant |
L |
9.265895492618 |
L(r)(E,1)/r! |
Ω |
0.12388262639253 |
Real period |
R |
6.2329802023474 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22620g2 |
Quadratic twists by: -3 |