Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13794bd |
Isogeny class |
Conductor |
13794 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-1648902537216 = -1 · 222 · 32 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 11- 3 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-128092,17592125] |
[a1,a2,a3,a4,a6] |
Generators |
[197:129:1] |
Generators of the group modulo torsion |
j |
-1920899191546985353/13627293696 |
j-invariant |
L |
4.4816962704522 |
L(r)(E,1)/r! |
Ω |
0.75364040011678 |
Real period |
R |
0.067576481703731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110352cp1 41382w1 13794k1 |
Quadratic twists by: -4 -3 -11 |