Atkin-Lehner |
5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
18755h |
Isogeny class |
Conductor |
18755 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-18755 = -1 · 5 · 112 · 31 |
Discriminant |
Eigenvalues |
1 1 5- 2 11- 1 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-58,163] |
[a1,a2,a3,a4,a6] |
j |
-173945761/155 |
j-invariant |
L |
3.8435966290958 |
L(r)(E,1)/r! |
Ω |
3.8435966290958 |
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 |
93775f1 18755i1 |
Quadratic twists by: 5 -11 |