Atkin-Lehner |
2+ 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240r |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-26014490357760 = -1 · 212 · 33 · 5 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -2 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8425,388585] |
[a1,a2,a3,a4,a6] |
j |
-16148234224576/6351193935 |
j-invariant |
L |
1.2571058081795 |
L(r)(E,1)/r! |
Ω |
0.62855290408975 |
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 |
18240bo2 9120i1 54720u2 91200ct2 |
Quadratic twists by: -4 8 -3 5 |