Atkin-Lehner |
5+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55955a |
Isogeny class |
Conductor |
55955 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-36460557775 = -1 · 52 · 196 · 31 |
Discriminant |
Eigenvalues |
1 -2 5+ 4 4 0 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-369,9551] |
[a1,a2,a3,a4,a6] |
j |
-117649/775 |
j-invariant |
L |
1.9932802124038 |
L(r)(E,1)/r! |
Ω |
0.99664010668277 |
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 |
155b1 |
Quadratic twists by: -19 |