Atkin-Lehner |
2+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43706j |
Isogeny class |
Conductor |
43706 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1115200 |
Modular degree for the optimal curve |
Δ |
-4358108310652408832 = -1 · 210 · 13 · 419 |
Discriminant |
Eigenvalues |
2+ -1 4 2 0 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,389117,-36713395] |
[a1,a2,a3,a4,a6] |
j |
19902511/13312 |
j-invariant |
L |
2.2342717272612 |
L(r)(E,1)/r! |
Ω |
0.13964198295388 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43706a1 |
Quadratic twists by: 41 |