Atkin-Lehner |
2- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
25760j |
Isogeny class |
Conductor |
25760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
6440000 = 26 · 54 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70,-168] |
[a1,a2,a3,a4,a6] |
Generators |
[12:24:1] |
Generators of the group modulo torsion |
j |
601211584/100625 |
j-invariant |
L |
8.1601767437857 |
L(r)(E,1)/r! |
Ω |
1.667338574719 |
Real period |
R |
2.4470665009237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25760n1 51520bm1 128800n1 |
Quadratic twists by: -4 8 5 |