Atkin-Lehner |
2- 3- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
110448bs |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
92868518705234688 = 28 · 311 · 132 · 594 |
Discriminant |
Eigenvalues |
2- 3- 4 2 0 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147423,-16115110] |
[a1,a2,a3,a4,a6] |
Generators |
[-134739110:-1462130802:614125] |
Generators of the group modulo torsion |
j |
1898680772963536/497623664187 |
j-invariant |
L |
10.512698256826 |
L(r)(E,1)/r! |
Ω |
0.24838697913285 |
Real period |
R |
10.580967560391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999831759 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27612f2 36816l2 |
Quadratic twists by: -4 -3 |