Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240ba |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-88719360 = -1 · 214 · 3 · 5 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -6 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-81,-561] |
[a1,a2,a3,a4,a6] |
j |
-3631696/5415 |
j-invariant |
L |
1.5094724703298 |
L(r)(E,1)/r! |
Ω |
0.75473623516489 |
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 |
18240by1 2280g1 54720bt1 91200i1 |
Quadratic twists by: -4 8 -3 5 |