Atkin-Lehner |
2+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
125840w |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
8766849515138000 = 24 · 53 · 1110 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-856922,305290139] |
[a1,a2,a3,a4,a6] |
j |
2455113061103616/309291125 |
j-invariant |
L |
2.3805781283809 |
L(r)(E,1)/r! |
Ω |
0.39676306321305 |
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 |
62920y1 11440e1 |
Quadratic twists by: -4 -11 |