Atkin-Lehner |
2- 3- 13- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25194z |
Isogeny class |
Conductor |
25194 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
2755875726256970304 = 26 · 34 · 132 · 176 · 194 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 13- 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-390234,49206564] |
[a1,a2,a3,a4,a6] |
Generators |
[-336:12102:1] |
Generators of the group modulo torsion |
j |
6572023359344013426337/2755875726256970304 |
j-invariant |
L |
8.810867691198 |
L(r)(E,1)/r! |
Ω |
0.23077592165003 |
Real period |
R |
1.0605366582683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
75582k2 |
Quadratic twists by: -3 |