Atkin-Lehner |
2- 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18018bj |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
887056738666914816 = 210 · 310 · 72 · 116 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-253544,19070763] |
[a1,a2,a3,a4,a6] |
j |
2472604133104833337/1216813084591104 |
j-invariant |
L |
4.9792050852578 |
L(r)(E,1)/r! |
Ω |
0.24896025426289 |
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 |
6006i2 126126fj2 |
Quadratic twists by: -3 -7 |