Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240l |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3066141081600 = 222 · 34 · 52 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4321,-68255] |
[a1,a2,a3,a4,a6] |
j |
34043726521/11696400 |
j-invariant |
L |
1.2106136732244 |
L(r)(E,1)/r! |
Ω |
0.6053068366122 |
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 |
18240ck2 570e2 54720cp2 91200dy2 |
Quadratic twists by: -4 8 -3 5 |