Atkin-Lehner |
2+ 3- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
107328bk |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
221524992 = 210 · 32 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 -2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32045,2197299] |
[a1,a2,a3,a4,a6] |
j |
3554005829453824/216333 |
j-invariant |
L |
2.6717010369656 |
L(r)(E,1)/r! |
Ω |
1.3358505072744 |
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 |
107328by1 13416d1 |
Quadratic twists by: -4 8 |