Atkin-Lehner |
2- 3- 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
118482cz |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-688489353298656 = -1 · 25 · 33 · 711 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 5 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-57135,-5410791] |
[a1,a2,a3,a4,a6] |
j |
-175324513418209/5852062944 |
j-invariant |
L |
9.2457729528101 |
L(r)(E,1)/r! |
Ω |
0.15409622898662 |
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 |
16926ba1 |
Quadratic twists by: -7 |