Atkin-Lehner |
3- 11+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52173i |
Isogeny class |
Conductor |
52173 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
6681326553 = 37 · 11 · 172 · 312 |
Discriminant |
Eigenvalues |
1 3- 4 0 11+ 6 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5895,175648] |
[a1,a2,a3,a4,a6] |
j |
31080575499121/9165057 |
j-invariant |
L |
5.2156570214779 |
L(r)(E,1)/r! |
Ω |
1.3039142553162 |
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 |
17391b1 |
Quadratic twists by: -3 |