Atkin-Lehner |
2- 5+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
105040m |
Isogeny class |
Conductor |
105040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-67225600000 = -1 · 214 · 55 · 13 · 101 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,12480] |
[a1,a2,a3,a4,a6] |
j |
-117649/16412500 |
j-invariant |
L |
1.75240506261 |
L(r)(E,1)/r! |
Ω |
0.87620241809289 |
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 |
13130f1 |
Quadratic twists by: -4 |