Atkin-Lehner |
2+ 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
25578u |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
23556854880280512 = 26 · 312 · 77 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1046502,412253428] |
[a1,a2,a3,a4,a6] |
Generators |
[737:-6763:1] [-684:28762:1] |
Generators of the group modulo torsion |
j |
1477843225692625/274663872 |
j-invariant |
L |
6.0477350266634 |
L(r)(E,1)/r! |
Ω |
0.36818808081981 |
Real period |
R |
1.0266042244627 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8526m2 3654m2 |
Quadratic twists by: -3 -7 |