Atkin-Lehner |
2+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9350f |
Isogeny class |
Conductor |
9350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-3.32610021392E+22 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 11- 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-60995876,183562308898] |
[a1,a2,a3,a4,a6] |
j |
-1606220241149825308027441/2128704136908800000 |
j-invariant |
L |
1.8618042164531 |
L(r)(E,1)/r! |
Ω |
0.11636276352832 |
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 |
74800bc1 84150fd1 1870h1 102850cj1 |
Quadratic twists by: -4 -3 5 -11 |