Atkin-Lehner |
5+ 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67925a |
Isogeny class |
Conductor |
67925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-387568545203125 = -1 · 56 · 114 · 13 · 194 |
Discriminant |
Eigenvalues |
1 0 5+ 0 11+ 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21017,-1502234] |
[a1,a2,a3,a4,a6] |
Generators |
[11543523810:-1806098242187:474552] |
Generators of the group modulo torsion |
j |
-65709397066977/24804386893 |
j-invariant |
L |
5.2440464649898 |
L(r)(E,1)/r! |
Ω |
0.19459976201991 |
Real period |
R |
13.473928256959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000829 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2717a4 |
Quadratic twists by: 5 |