Atkin-Lehner |
2- 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9306o |
Isogeny class |
Conductor |
9306 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-1507572 = -1 · 22 · 36 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 -5 11- -3 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-104,-385] |
[a1,a2,a3,a4,a6] |
j |
-169112377/2068 |
j-invariant |
L |
2.9900726470079 |
L(r)(E,1)/r! |
Ω |
0.74751816175197 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74448bd1 1034a1 102366m1 |
Quadratic twists by: -4 -3 -11 |