Atkin-Lehner |
2+ 13+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
33592b |
Isogeny class |
Conductor |
33592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
21700432 = 24 · 13 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 0 0 -2 -2 13+ 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1570,-23943] |
[a1,a2,a3,a4,a6] |
Generators |
[249:3876:1] |
Generators of the group modulo torsion |
j |
26748700416000/1356277 |
j-invariant |
L |
4.1206813114166 |
L(r)(E,1)/r! |
Ω |
0.75844826615742 |
Real period |
R |
2.7165210175068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67184e1 |
Quadratic twists by: -4 |