Atkin-Lehner |
2- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9350bk |
Isogeny class |
Conductor |
9350 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-910675566592000 = -1 · 216 · 53 · 113 · 174 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11- 6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-123168,-16752319] |
[a1,a2,a3,a4,a6] |
j |
-1653132209544118997/7285404532736 |
j-invariant |
L |
6.1146525975392 |
L(r)(E,1)/r! |
Ω |
0.12738859578207 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74800cs1 84150de1 9350p1 102850bu1 |
Quadratic twists by: -4 -3 5 -11 |