Atkin-Lehner |
3- 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
9933b |
Isogeny class |
Conductor |
9933 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
-1705486167 = -1 · 32 · 7 · 114 · 432 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 11- 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1733,-27984] |
[a1,a2,a3,a4,a6] |
j |
-575618923356625/1705486167 |
j-invariant |
L |
1.4796246001569 |
L(r)(E,1)/r! |
Ω |
0.36990615003923 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29799h1 69531f1 109263q1 |
Quadratic twists by: -3 -7 -11 |