Atkin-Lehner |
2- 3- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
18486u |
Isogeny class |
Conductor |
18486 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-155707858377309888 = -1 · 26 · 37 · 134 · 794 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-188546,-36741823] |
[a1,a2,a3,a4,a6] |
j |
-1016824482248035033/213591026580672 |
j-invariant |
L |
2.718709624056 |
L(r)(E,1)/r! |
Ω |
0.113279567669 |
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 |
6162j4 |
Quadratic twists by: -3 |