Atkin-Lehner |
2- 3- 5- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111690bs |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
528 |
Product of Tamagawa factors cp |
deg |
78667776 |
Modular degree for the optimal curve |
Δ |
1.7565768180541E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-345205517,1424245094709] |
[a1,a2,a3,a4,a6] |
j |
6240643389861302970636952969/2409570395136000000000000 |
j-invariant |
L |
5.6663092583038 |
L(r)(E,1)/r! |
Ω |
0.042926593206291 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37230b1 |
Quadratic twists by: -3 |