Atkin-Lehner |
2- 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50562ba |
Isogeny class |
Conductor |
50562 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6410880 |
Modular degree for the optimal curve |
Δ |
1.2392316285136E+23 |
Discriminant |
Eigenvalues |
2- 3- 0 2 5 1 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36986630,-84897507031] |
[a1,a2,a3,a4,a6] |
Generators |
[32774437457286:11084118323293513:284890312] |
Generators of the group modulo torsion |
j |
43890625/972 |
j-invariant |
L |
10.882087542226 |
L(r)(E,1)/r! |
Ω |
0.061301866988941 |
Real period |
R |
22.189551633455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16854e1 50562o1 |
Quadratic twists by: -3 53 |