Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240bd |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-10626018532392960 = -1 · 226 · 35 · 5 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-121601,17017695] |
[a1,a2,a3,a4,a6] |
j |
-758575480593601/40535043840 |
j-invariant |
L |
4.0058676797235 |
L(r)(E,1)/r! |
Ω |
0.40058676797235 |
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 |
18240bz1 570i1 54720bx1 91200m1 |
Quadratic twists by: -4 8 -3 5 |