Atkin-Lehner |
2- 11+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
32164b |
Isogeny class |
Conductor |
32164 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
68544 |
Modular degree for the optimal curve |
Δ |
3874673184272 = 24 · 117 · 172 · 43 |
Discriminant |
Eigenvalues |
2- 0 -2 -1 11+ -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55661,-5053571] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:17:1] |
Generators of the group modulo torsion |
j |
1191946446280726272/242167074017 |
j-invariant |
L |
3.1082104763616 |
L(r)(E,1)/r! |
Ω |
0.31082582736549 |
Real period |
R |
1.6666410374723 |
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 |
128656u1 |
Quadratic twists by: -4 |