Atkin-Lehner |
2- 3- 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050bx |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
364 |
Product of Tamagawa factors cp |
deg |
1467648 |
Modular degree for the optimal curve |
Δ |
12228457410000000 = 27 · 313 · 57 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -5 13+ -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-443463,113505417] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:12189:1] |
Generators of the group modulo torsion |
j |
617271064524871849/782621274240 |
j-invariant |
L |
9.684870187203 |
L(r)(E,1)/r! |
Ω |
0.39980612254034 |
Real period |
R |
0.066549221614664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999991259 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23010b1 |
Quadratic twists by: 5 |