Atkin-Lehner |
5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117325r |
Isogeny class |
Conductor |
117325 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1121760 |
Modular degree for the optimal curve |
Δ |
-431223280337890625 = -1 · 59 · 13 · 198 |
Discriminant |
Eigenvalues |
-1 1 5- 4 -3 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,17862,-31579483] |
[a1,a2,a3,a4,a6] |
Generators |
[103789:375710:343] |
Generators of the group modulo torsion |
j |
19/13 |
j-invariant |
L |
5.2176168503111 |
L(r)(E,1)/r! |
Ω |
0.13909743285597 |
Real period |
R |
6.2517530422577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000107608 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117325l1 117325o1 |
Quadratic twists by: 5 -19 |