Atkin-Lehner |
2+ 3- 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330g |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4724843906250000 = 24 · 34 · 510 · 132 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-196119,-33281558] |
[a1,a2,a3,a4,a6] |
j |
834217967047096401769/4724843906250000 |
j-invariant |
L |
0.90777456733488 |
L(r)(E,1)/r! |
Ω |
0.22694364183372 |
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 |
54990bo2 91650cn2 |
Quadratic twists by: -3 5 |