Atkin-Lehner |
2- 3- 5+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
104130bj |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
1838592 |
Modular degree for the optimal curve |
Δ |
-120889783812096000 = -1 · 219 · 313 · 53 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1074668,429399407] |
[a1,a2,a3,a4,a6] |
Generators |
[405:7573:1] |
Generators of the group modulo torsion |
j |
-188286315361737711481/165829607424000 |
j-invariant |
L |
7.6987456806095 |
L(r)(E,1)/r! |
Ω |
0.32903316470565 |
Real period |
R |
0.30786952728319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038772 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34710o1 |
Quadratic twists by: -3 |