Atkin-Lehner |
2+ 5+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
45650g |
Isogeny class |
Conductor |
45650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1969920 |
Modular degree for the optimal curve |
Δ |
-934912000000000 = -1 · 219 · 59 · 11 · 83 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11- -7 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33654542,-75138931884] |
[a1,a2,a3,a4,a6] |
Generators |
[5132902142837517:-16346512036534882446:506261573] |
Generators of the group modulo torsion |
j |
-269795528414653840973361/59834368000 |
j-invariant |
L |
3.3443539965924 |
L(r)(E,1)/r! |
Ω |
0.031340696027321 |
Real period |
R |
26.677406858458 |
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 |
9130i1 |
Quadratic twists by: 5 |