Atkin-Lehner |
2- 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570cs |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
100352 |
Modular degree for the optimal curve |
Δ |
4503462541200 = 24 · 32 · 52 · 79 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4166,16596] |
[a1,a2,a3,a4,a6] |
j |
198155287/111600 |
j-invariant |
L |
5.3456530545523 |
L(r)(E,1)/r! |
Ω |
0.66820663185538 |
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 |
45570ch1 |
Quadratic twists by: -7 |