Atkin-Lehner |
2- 3+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
117300j |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
42228000000 = 28 · 33 · 56 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 4 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2333,-41463] |
[a1,a2,a3,a4,a6] |
j |
351232000/10557 |
j-invariant |
L |
4.1290974144203 |
L(r)(E,1)/r! |
Ω |
0.68818296482718 |
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 |
4692c1 |
Quadratic twists by: 5 |