Atkin-Lehner |
3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11913h |
Isogeny class |
Conductor |
11913 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3120 |
Modular degree for the optimal curve |
Δ |
-2037123 = -1 · 33 · 11 · 193 |
Discriminant |
Eigenvalues |
2 3- 0 -4 11- -1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,32,7] |
[a1,a2,a3,a4,a6] |
Generators |
[10:53:8] |
Generators of the group modulo torsion |
j |
512000/297 |
j-invariant |
L |
9.7187409821965 |
L(r)(E,1)/r! |
Ω |
1.5528737232214 |
Real period |
R |
1.0430920038619 |
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 |
35739m1 11913c1 |
Quadratic twists by: -3 -19 |