Atkin-Lehner |
2+ 3- 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330g |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
456738141600000 = 28 · 32 · 55 · 13 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19399,153866] |
[a1,a2,a3,a4,a6] |
j |
807289973987459689/456738141600000 |
j-invariant |
L |
0.90777456733488 |
L(r)(E,1)/r! |
Ω |
0.45388728366744 |
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 |
54990bo1 91650cn1 |
Quadratic twists by: -3 5 |