Atkin-Lehner |
2- 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18612j |
Isogeny class |
Conductor |
18612 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-10017321456384 = -1 · 28 · 36 · 11 · 474 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 11- 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5352,-21836] |
[a1,a2,a3,a4,a6] |
j |
90845732864/53676491 |
j-invariant |
L |
0.84937741576662 |
L(r)(E,1)/r! |
Ω |
0.42468870788331 |
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 |
74448bb1 2068a1 |
Quadratic twists by: -4 -3 |