Atkin-Lehner |
2+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
83600m |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912000 |
Modular degree for the optimal curve |
Δ |
7.3151642820008E+21 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 11+ -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25525783,49458911688] |
[a1,a2,a3,a4,a6] |
j |
7357341911923925653504/29260657128003125 |
j-invariant |
L |
0.26585798127986 |
L(r)(E,1)/r! |
Ω |
0.13292901198485 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41800v1 16720h1 |
Quadratic twists by: -4 5 |