Atkin-Lehner |
5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
117325t |
Isogeny class |
Conductor |
117325 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-3835617598794921875 = -1 · 59 · 133 · 197 |
Discriminant |
Eigenvalues |
1 3 5- -1 2 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-470992,156186791] |
[a1,a2,a3,a4,a6] |
j |
-125751501/41743 |
j-invariant |
L |
5.6254825036205 |
L(r)(E,1)/r! |
Ω |
0.23439508983174 |
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 |
117325q1 6175f1 |
Quadratic twists by: 5 -19 |