Atkin-Lehner |
5+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
56525n |
Isogeny class |
Conductor |
56525 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
823680 |
Modular degree for the optimal curve |
Δ |
-13735230727421875 = -1 · 57 · 73 · 175 · 192 |
Discriminant |
Eigenvalues |
2 2 5+ 7- -4 -7 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,47992,-3942707] |
[a1,a2,a3,a4,a6] |
j |
782350174121984/879054766555 |
j-invariant |
L |
5.1372473490909 |
L(r)(E,1)/r! |
Ω |
0.21405197290678 |
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 |
11305g1 |
Quadratic twists by: 5 |