Atkin-Lehner |
3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9633f |
Isogeny class |
Conductor |
9633 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
-71558346038283 = -1 · 35 · 138 · 192 |
Discriminant |
Eigenvalues |
0 3- 0 3 2 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7323,-475549] |
[a1,a2,a3,a4,a6] |
j |
-53248000/87723 |
j-invariant |
L |
2.4417542070167 |
L(r)(E,1)/r! |
Ω |
0.24417542070167 |
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 |
28899a1 9633j1 |
Quadratic twists by: -3 13 |