Atkin-Lehner |
2- 3- 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410bs |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
1241658752400 = 24 · 314 · 52 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -6 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4982,-123019] |
[a1,a2,a3,a4,a6] |
j |
18755369578009/1703235600 |
j-invariant |
L |
4.5725761562228 |
L(r)(E,1)/r! |
Ω |
0.57157201927433 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470k1 |
Quadratic twists by: -3 |