Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25872p |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
73635970738176 = 211 · 34 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-159952,-24672460] |
[a1,a2,a3,a4,a6] |
Generators |
[12540:32390:27] |
Generators of the group modulo torsion |
j |
5476248398/891 |
j-invariant |
L |
7.6860996173892 |
L(r)(E,1)/r! |
Ω |
0.23872953373172 |
Real period |
R |
8.0489618285211 |
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 |
12936s2 103488gn2 77616cl2 25872e2 |
Quadratic twists by: -4 8 -3 -7 |