Atkin-Lehner |
5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62465f |
Isogeny class |
Conductor |
62465 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
471600 |
Modular degree for the optimal curve |
Δ |
13930185857778125 = 55 · 136 · 314 |
Discriminant |
Eigenvalues |
0 -2 5+ 2 3 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-145431,20529300] |
[a1,a2,a3,a4,a6] |
j |
368341705129984/15083778125 |
j-invariant |
L |
0.78576089064739 |
L(r)(E,1)/r! |
Ω |
0.39288044292709 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
62465c1 |
Quadratic twists by: -31 |