Atkin-Lehner |
13+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
116909c |
Isogeny class |
Conductor |
116909 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1478400 |
Modular degree for the optimal curve |
Δ |
12147196342919417 = 136 · 17 · 236 |
Discriminant |
Eigenvalues |
-1 0 -4 2 -6 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-387592,-92628950] |
[a1,a2,a3,a4,a6] |
j |
43499078731809/82055753 |
j-invariant |
L |
0.1913626669441 |
L(r)(E,1)/r! |
Ω |
0.19136175907106 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
221a1 |
Quadratic twists by: -23 |