Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880eg |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-388932776755200 = -1 · 227 · 37 · 52 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -3 2 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25985,-1879425] |
[a1,a2,a3,a4,a6] |
Generators |
[415:-7680:1] |
Generators of the group modulo torsion |
j |
-7402333827169/1483660800 |
j-invariant |
L |
8.8693220251864 |
L(r)(E,1)/r! |
Ω |
0.18600470061653 |
Real period |
R |
0.85148789210287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50880v1 12720p1 |
Quadratic twists by: -4 8 |