Atkin-Lehner |
5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
18755c |
Isogeny class |
Conductor |
18755 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-64893801865234375 = -1 · 510 · 118 · 31 |
Discriminant |
Eigenvalues |
-1 -2 5+ -4 11- 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-116586,-19630709] |
[a1,a2,a3,a4,a6] |
Generators |
[621165:-94517492:27] |
Generators of the group modulo torsion |
j |
-98925223576249/36630859375 |
j-invariant |
L |
1.2495899339189 |
L(r)(E,1)/r! |
Ω |
0.12683922100513 |
Real period |
R |
9.8517629169953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93775e1 1705a1 |
Quadratic twists by: 5 -11 |