Atkin-Lehner |
2- 3- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410bc |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
35421977868750000 = 24 · 38 · 58 · 114 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-421988,-105016233] |
[a1,a2,a3,a4,a6] |
Generators |
[-373:807:1] [-363:665:1] |
Generators of the group modulo torsion |
j |
11399755125823831801/48589818750000 |
j-invariant |
L |
12.268897363695 |
L(r)(E,1)/r! |
Ω |
0.18736392590091 |
Real period |
R |
8.1852051460201 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470h3 |
Quadratic twists by: -3 |