Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
23600r |
Isogeny class |
Conductor |
23600 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-14750000 = -1 · 24 · 56 · 59 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -6 4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-233,-1462] |
[a1,a2,a3,a4,a6] |
Generators |
[73746:736406:729] |
Generators of the group modulo torsion |
j |
-5619712/59 |
j-invariant |
L |
5.5532187305595 |
L(r)(E,1)/r! |
Ω |
0.61038463065999 |
Real period |
R |
9.0979006541416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5900a1 94400bv1 944j1 |
Quadratic twists by: -4 8 5 |