Atkin-Lehner |
2+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9350g |
Isogeny class |
Conductor |
9350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-51425000000000 = -1 · 29 · 511 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3 5+ 4 11- 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2167,347741] |
[a1,a2,a3,a4,a6] |
j |
-72043225281/3291200000 |
j-invariant |
L |
4.1989252246636 |
L(r)(E,1)/r! |
Ω |
0.52486565308296 |
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 |
74800bj1 84150fh1 1870i1 102850cr1 |
Quadratic twists by: -4 -3 5 -11 |