Atkin-Lehner |
2- 7- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
75166o |
Isogeny class |
Conductor |
75166 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5061888 |
Modular degree for the optimal curve |
Δ |
-4.1266736305895E+21 |
Discriminant |
Eigenvalues |
2- 1 2 7- 5 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7932562,-9138616292] |
[a1,a2,a3,a4,a6] |
Generators |
[1809133592028312:93213267893762225711:681472] |
Generators of the group modulo torsion |
j |
-469219336443179811217/35076147103583768 |
j-invariant |
L |
14.333501410082 |
L(r)(E,1)/r! |
Ω |
0.044787249553483 |
Real period |
R |
26.669609380987 |
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 |
10738f1 |
Quadratic twists by: -7 |