Atkin-Lehner |
5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
51425f |
Isogeny class |
Conductor |
51425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-10647607542171875 = -1 · 56 · 119 · 172 |
Discriminant |
Eigenvalues |
0 -1 5+ 2 11- 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,32267,-4445882] |
[a1,a2,a3,a4,a6] |
j |
134217728/384659 |
j-invariant |
L |
0.83244191149069 |
L(r)(E,1)/r! |
Ω |
0.20811047789514 |
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 |
2057e1 4675l1 |
Quadratic twists by: 5 -11 |