Atkin-Lehner |
2- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
9328h |
Isogeny class |
Conductor |
9328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-43017134944256 = -1 · 212 · 113 · 534 |
Discriminant |
Eigenvalues |
2- -3 -3 -2 11+ 0 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7856,166576] |
[a1,a2,a3,a4,a6] |
j |
13090860306432/10502230211 |
j-invariant |
L |
0.82727874845338 |
L(r)(E,1)/r! |
Ω |
0.41363937422669 |
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 |
583c1 37312bj1 83952s1 102608v1 |
Quadratic twists by: -4 8 -3 -11 |