Atkin-Lehner |
19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
118579a |
Isogeny class |
Conductor |
118579 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-159097619825260381 = -1 · 199 · 793 |
Discriminant |
Eigenvalues |
1 0 1 0 2 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,67876,-17960039] |
[a1,a2,a3,a4,a6] |
j |
70143520960521/322687697779 |
j-invariant |
L |
2.9391996307473 |
L(r)(E,1)/r! |
Ω |
0.16328891630808 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118579b1 |
Quadratic twists by: -79 |