Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
90972h |
Isogeny class |
Conductor |
90972 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
559872 |
Modular degree for the optimal curve |
Δ |
-3350975325191424 = -1 · 28 · 315 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40071,4157998] |
[a1,a2,a3,a4,a6] |
j |
-292571728/137781 |
j-invariant |
L |
2.501149594637 |
L(r)(E,1)/r! |
Ω |
0.41685827680413 |
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 |
30324k1 90972n1 |
Quadratic twists by: -3 -19 |