Atkin-Lehner |
3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
126405i |
Isogeny class |
Conductor |
126405 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
92149245 = 38 · 5 · 532 |
Discriminant |
Eigenvalues |
0 3- 5+ 0 -4 4 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-318,2133] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:451:8] [-1:49:1] |
Generators of the group modulo torsion |
j |
1736704/45 |
j-invariant |
L |
9.6438935366136 |
L(r)(E,1)/r! |
Ω |
1.8997255535265 |
Real period |
R |
2.5382333567002 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995234 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42135g1 126405u1 |
Quadratic twists by: -3 53 |