Atkin-Lehner |
2- 3- 7- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
96642cf |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
13471744 |
Modular degree for the optimal curve |
Δ |
-1.2138249560187E+24 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -5 13- -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-990698,-53008468995] |
[a1,a2,a3,a4,a6] |
Generators |
[27497:4536993:1] |
Generators of the group modulo torsion |
j |
-147509377948841814361/1665054809353469934036 |
j-invariant |
L |
9.0112911351689 |
L(r)(E,1)/r! |
Ω |
0.039340400149913 |
Real period |
R |
7.1581083795247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32214g1 |
Quadratic twists by: -3 |