Atkin-Lehner |
2- 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150dn |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26672640 |
Modular degree for the optimal curve |
Δ |
-5.3858760986738E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 0 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,43213945,-22633784053] |
[a1,a2,a3,a4,a6] |
Generators |
[47797748368497:6994010168844124:40672093519] |
Generators of the group modulo torsion |
j |
1253625721966736975/756534585053772 |
j-invariant |
L |
11.646154859251 |
L(r)(E,1)/r! |
Ω |
0.044372546982634 |
Real period |
R |
16.403941810869 |
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 |
43050r1 129150bu1 |
Quadratic twists by: -3 5 |