Atkin-Lehner |
3- 5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
47175i |
Isogeny class |
Conductor |
47175 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
-30878543671875 = -1 · 33 · 57 · 172 · 373 |
Discriminant |
Eigenvalues |
2 3- 5+ 2 -4 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,842,267469] |
[a1,a2,a3,a4,a6] |
j |
4220112896/1976226795 |
j-invariant |
L |
6.1584765441055 |
L(r)(E,1)/r! |
Ω |
0.51320637867718 |
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 |
9435d1 |
Quadratic twists by: 5 |