Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
106470bx |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
16876132116480000 = 214 · 37 · 54 · 73 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1562625,-751431875] |
[a1,a2,a3,a4,a6] |
j |
263469645912923533/10536960000 |
j-invariant |
L |
1.6203844162454 |
L(r)(E,1)/r! |
Ω |
0.13503205956762 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490cw1 106470fj1 |
Quadratic twists by: -3 13 |