Atkin-Lehner |
3+ 7+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
9933a |
Isogeny class |
Conductor |
9933 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-234553680207 = -1 · 34 · 7 · 112 · 434 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,813,21864] |
[a1,a2,a3,a4,a6] |
j |
59424010905167/234553680207 |
j-invariant |
L |
0.70632653342118 |
L(r)(E,1)/r! |
Ω |
0.70632653342118 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29799g1 69531l1 109263k1 |
Quadratic twists by: -3 -7 -11 |