Atkin-Lehner |
3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
126405r |
Isogeny class |
Conductor |
126405 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2747520 |
Modular degree for the optimal curve |
Δ |
5673414288735271125 = 36 · 53 · 538 |
Discriminant |
Eigenvalues |
-2 3- 5+ 2 0 0 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1339893,585868214] |
[a1,a2,a3,a4,a6] |
Generators |
[6834:64319:8] |
Generators of the group modulo torsion |
j |
5861376/125 |
j-invariant |
L |
3.2920263720995 |
L(r)(E,1)/r! |
Ω |
0.24015927866188 |
Real period |
R |
6.8538397412763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998646471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14045e1 126405t1 |
Quadratic twists by: -3 53 |