Atkin-Lehner |
3- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
58089j |
Isogeny class |
Conductor |
58089 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-461539627574893611 = -1 · 3 · 1711 · 672 |
Discriminant |
Eigenvalues |
0 3- -3 -2 3 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-158757,-40810303] |
[a1,a2,a3,a4,a6] |
Generators |
[597064:18889925:512] |
Generators of the group modulo torsion |
j |
-18332916908032/19121214219 |
j-invariant |
L |
4.2791571630483 |
L(r)(E,1)/r! |
Ω |
0.11481368507227 |
Real period |
R |
9.3176113115244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3417c1 |
Quadratic twists by: 17 |