Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18216o |
Isogeny class |
Conductor |
18216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-8852976 = -1 · 24 · 37 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 1 11- -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-399,3071] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-9:1] |
Generators of the group modulo torsion |
j |
-602275072/759 |
j-invariant |
L |
3.7417657851224 |
L(r)(E,1)/r! |
Ω |
2.3094491527733 |
Real period |
R |
0.2025247979929 |
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 |
36432i1 6072a1 |
Quadratic twists by: -4 -3 |