Atkin-Lehner |
2- 19+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
72922c |
Isogeny class |
Conductor |
72922 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
160000 |
Modular degree for the optimal curve |
Δ |
-1427500580918 = -1 · 2 · 193 · 1014 |
Discriminant |
Eigenvalues |
2- -1 -2 1 6 5 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7484,252627] |
[a1,a2,a3,a4,a6] |
j |
-6758773188643/208120802 |
j-invariant |
L |
3.3957753270664 |
L(r)(E,1)/r! |
Ω |
0.84894383761574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72922a1 |
Quadratic twists by: -19 |