Atkin-Lehner |
2- 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
73644o |
Isogeny class |
Conductor |
73644 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
184680 |
Modular degree for the optimal curve |
Δ |
-114124777967664 = -1 · 24 · 319 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 3 2 -3 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6511,474708] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:324:1] |
Generators of the group modulo torsion |
j |
5284122902528/19758444939 |
j-invariant |
L |
10.573822724976 |
L(r)(E,1)/r! |
Ω |
0.42086508795601 |
Real period |
R |
1.3223168217466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73644e1 |
Quadratic twists by: -19 |