Atkin-Lehner |
2- 5- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
43550ba |
Isogeny class |
Conductor |
43550 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
407400 |
Modular degree for the optimal curve |
Δ |
-52551882987500000 = -1 · 25 · 58 · 137 · 67 |
Discriminant |
Eigenvalues |
2- 1 5- 3 2 13- 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,55237,-9827983] |
[a1,a2,a3,a4,a6] |
j |
47714836084655/134532820448 |
j-invariant |
L |
6.3807326205024 |
L(r)(E,1)/r! |
Ω |
0.18230664630837 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43550d1 |
Quadratic twists by: 5 |