Atkin-Lehner |
3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
126405u |
Isogeny class |
Conductor |
126405 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1465344 |
Modular degree for the optimal curve |
Δ |
2042429143944697605 = 38 · 5 · 538 |
Discriminant |
Eigenvalues |
0 3- 5- 0 -4 4 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-893262,317591860] |
[a1,a2,a3,a4,a6] |
j |
1736704/45 |
j-invariant |
L |
2.087578861487 |
L(r)(E,1)/r! |
Ω |
0.26094737338013 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42135a1 126405i1 |
Quadratic twists by: -3 53 |