Atkin-Lehner |
2- 11- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128986z |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
213504 |
Modular degree for the optimal curve |
Δ |
42307408 = 24 · 112 · 13 · 412 |
Discriminant |
Eigenvalues |
2- 3 0 4 11- 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6975,225943] |
[a1,a2,a3,a4,a6] |
j |
310107738191625/349648 |
j-invariant |
L |
13.704537868699 |
L(r)(E,1)/r! |
Ω |
1.7130672990557 |
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 |
128986j1 |
Quadratic twists by: -11 |