Atkin-Lehner |
5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27455c |
Isogeny class |
Conductor |
27455 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-3045482338671875 = -1 · 58 · 177 · 19 |
Discriminant |
Eigenvalues |
0 1 5+ -4 2 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-88241,-10462124] |
[a1,a2,a3,a4,a6] |
j |
-3148084412416/126171875 |
j-invariant |
L |
0.5527041173331 |
L(r)(E,1)/r! |
Ω |
0.13817602933336 |
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 |
1615b1 |
Quadratic twists by: 17 |