Atkin-Lehner |
2+ 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
52234a |
Isogeny class |
Conductor |
52234 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9934848 |
Modular degree for the optimal curve |
Δ |
-4.8999105506334E+24 |
Discriminant |
Eigenvalues |
2+ -1 -1 7+ -5 13+ 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15820753,109213523861] |
[a1,a2,a3,a4,a6] |
Generators |
[11035830:7049629093:27] |
Generators of the group modulo torsion |
j |
-75966284480264731609/849970458760577024 |
j-invariant |
L |
2.4640078072694 |
L(r)(E,1)/r! |
Ω |
0.065447460945717 |
Real period |
R |
3.1373865535569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52234o1 |
Quadratic twists by: -7 |