Atkin-Lehner |
2+ 3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
124872g |
Isogeny class |
Conductor |
124872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6094080 |
Modular degree for the optimal curve |
Δ |
-1.2621939463083E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 11- -4 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2738875,-2441529176] |
[a1,a2,a3,a4,a6] |
Generators |
[4226083820679783957:177996206858218150699:1421665002602307] |
Generators of the group modulo torsion |
j |
-80161237430634496/44529723585171 |
j-invariant |
L |
6.5920812905749 |
L(r)(E,1)/r! |
Ω |
0.057201966895478 |
Real period |
R |
28.810553414274 |
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 |
11352g1 |
Quadratic twists by: -11 |