Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690bi |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
499200 |
Modular degree for the optimal curve |
Δ |
-2034082160640 = -1 · 213 · 310 · 5 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 5 -1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-186773,31115117] |
[a1,a2,a3,a4,a6] |
Generators |
[255:16:1] |
Generators of the group modulo torsion |
j |
-1175277148105921/3317760 |
j-invariant |
L |
8.8731841462966 |
L(r)(E,1)/r! |
Ω |
0.71951081351008 |
Real period |
R |
0.47431714299177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25230m1 75690m1 |
Quadratic twists by: -3 29 |