Atkin-Lehner |
2- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117740c |
Isogeny class |
Conductor |
117740 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1375920 |
Modular degree for the optimal curve |
Δ |
-12796410311740160 = -1 · 28 · 5 · 75 · 296 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ 5 -3 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,26912,5170468] |
[a1,a2,a3,a4,a6] |
j |
14155776/84035 |
j-invariant |
L |
0.86655353112728 |
L(r)(E,1)/r! |
Ω |
0.2888512585545 |
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 |
140b1 |
Quadratic twists by: 29 |