Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536dk |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
2186242506620928 = 230 · 37 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -6 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64961,-5984193] |
[a1,a2,a3,a4,a6] |
j |
115650783909361/8339853312 |
j-invariant |
L |
4.2056693463448 |
L(r)(E,1)/r! |
Ω |
0.30040495331035 |
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 |
25536k1 6384ba1 76608ff1 |
Quadratic twists by: -4 8 -3 |