Atkin-Lehner |
2- 3+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
115434bj |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-3577903524805104 = -1 · 24 · 39 · 118 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 11- 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-132518,18822565] |
[a1,a2,a3,a4,a6] |
j |
-60997563/848 |
j-invariant |
L |
3.5633335755619 |
L(r)(E,1)/r! |
Ω |
0.44541662589131 |
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 |
115434c1 115434i1 |
Quadratic twists by: -3 -11 |