Atkin-Lehner |
2- 7+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
79618q |
Isogeny class |
Conductor |
79618 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1726560 |
Modular degree for the optimal curve |
Δ |
-14900890092831512 = -1 · 23 · 75 · 119 · 47 |
Discriminant |
Eigenvalues |
2- 3 4 7+ 11+ 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,20547,5757469] |
[a1,a2,a3,a4,a6] |
j |
406869021/6319432 |
j-invariant |
L |
15.818305312007 |
L(r)(E,1)/r! |
Ω |
0.29293157952457 |
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 |
79618k1 |
Quadratic twists by: -11 |