Atkin-Lehner |
11+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87373a |
Isogeny class |
Conductor |
87373 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
89232 |
Modular degree for the optimal curve |
Δ |
-421732782757 = -1 · 11 · 138 · 47 |
Discriminant |
Eigenvalues |
-1 0 4 0 11+ 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,137,31204] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:22026:125] |
Generators of the group modulo torsion |
j |
351/517 |
j-invariant |
L |
5.268677386698 |
L(r)(E,1)/r! |
Ω |
0.73891020163445 |
Real period |
R |
7.1303351539598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87373e1 |
Quadratic twists by: 13 |