Atkin-Lehner |
2- 3- 5- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450ct |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
491045414062500 = 22 · 34 · 59 · 114 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-90888,10484892] |
[a1,a2,a3,a4,a6] |
j |
42512203134701/251415252 |
j-invariant |
L |
8.4288771726357 |
L(r)(E,1)/r! |
Ω |
0.5268048256328 |
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 |
87450o1 |
Quadratic twists by: 5 |