Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240bs |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4669440000 = 217 · 3 · 54 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9761,-367935] |
[a1,a2,a3,a4,a6] |
j |
784767874322/35625 |
j-invariant |
L |
1.9212480648806 |
L(r)(E,1)/r! |
Ω |
0.48031201622015 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18240bh4 4560j3 54720ei4 91200hl4 |
Quadratic twists by: -4 8 -3 5 |