Atkin-Lehner |
3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18975s |
Isogeny class |
Conductor |
18975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5664 |
Modular degree for the optimal curve |
Δ |
-4800675 = -1 · 3 · 52 · 112 · 232 |
Discriminant |
Eigenvalues |
2 3- 5+ -1 11- -7 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,22,-91] |
[a1,a2,a3,a4,a6] |
j |
44994560/192027 |
j-invariant |
L |
4.9294740457141 |
L(r)(E,1)/r! |
Ω |
1.2323685114285 |
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 |
56925o1 18975l1 |
Quadratic twists by: -3 5 |