Atkin-Lehner |
13+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
118807c |
Isogeny class |
Conductor |
118807 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
120830322903299893 = 136 · 192 · 375 |
Discriminant |
Eigenvalues |
0 3 2 1 -3 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-124384,2322778] |
[a1,a2,a3,a4,a6] |
j |
44091731607552/25033168477 |
j-invariant |
L |
5.6942912151287 |
L(r)(E,1)/r! |
Ω |
0.28471459393234 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
703a1 |
Quadratic twists by: 13 |