Atkin-Lehner |
2- 3- 11+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
118404i |
Isogeny class |
Conductor |
118404 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
732827681194752 = 28 · 37 · 114 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80895,8759558] |
[a1,a2,a3,a4,a6] |
Generators |
[187:414:1] |
Generators of the group modulo torsion |
j |
313704866914000/3926760123 |
j-invariant |
L |
7.917952745046 |
L(r)(E,1)/r! |
Ω |
0.50855608116865 |
Real period |
R |
1.297456509503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999615188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39468e2 |
Quadratic twists by: -3 |