Atkin-Lehner |
2- 5+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
58520m |
Isogeny class |
Conductor |
58520 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-198265760000000 = -1 · 211 · 57 · 72 · 113 · 19 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 11- -1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20443,-1313258] |
[a1,a2,a3,a4,a6] |
j |
-461346941428578/96809453125 |
j-invariant |
L |
1.1844733716951 |
L(r)(E,1)/r! |
Ω |
0.19741222849234 |
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 |
117040e1 |
Quadratic twists by: -4 |