Atkin-Lehner |
2- 3- 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
54990bq |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
2230272 |
Modular degree for the optimal curve |
Δ |
1344484559695380480 = 218 · 317 · 5 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7785572,8363254151] |
[a1,a2,a3,a4,a6] |
Generators |
[188145:815657:125] |
Generators of the group modulo torsion |
j |
71592529574416853286649/1844286090117120 |
j-invariant |
L |
11.326675785681 |
L(r)(E,1)/r! |
Ω |
0.25136207423038 |
Real period |
R |
1.2516998990412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18330l1 |
Quadratic twists by: -3 |