Atkin-Lehner |
2- 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
26488h |
Isogeny class |
Conductor |
26488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-19645196032 = -1 · 28 · 73 · 112 · 432 |
Discriminant |
Eigenvalues |
2- -2 4 7+ 11+ 4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-516,-8288] |
[a1,a2,a3,a4,a6] |
j |
-59466754384/76739047 |
j-invariant |
L |
1.9108664474402 |
L(r)(E,1)/r! |
Ω |
0.47771661186002 |
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 |
52976k1 |
Quadratic twists by: -4 |