Atkin-Lehner |
3+ 5+ 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
18285a |
Isogeny class |
Conductor |
18285 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
145760980275 = 314 · 52 · 23 · 53 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 0 -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6273,187758] |
[a1,a2,a3,a4,a6] |
j |
27305978615969689/145760980275 |
j-invariant |
L |
1.036527222923 |
L(r)(E,1)/r! |
Ω |
1.036527222923 |
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 |
54855f2 91425n2 |
Quadratic twists by: -3 5 |