Atkin-Lehner |
2- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9350t |
Isogeny class |
Conductor |
9350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-2322160156250 = -1 · 2 · 59 · 112 · 173 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 11+ -5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-487588,130844031] |
[a1,a2,a3,a4,a6] |
j |
-820470116876114809/148618250 |
j-invariant |
L |
2.5800600534565 |
L(r)(E,1)/r! |
Ω |
0.64501501336412 |
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 |
74800bx1 84150cv1 1870b1 102850s1 |
Quadratic twists by: -4 -3 5 -11 |