Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240ch |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-615600000000 = -1 · 210 · 34 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1219,34419] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:168:1] |
Generators of the group modulo torsion |
j |
195469297664/601171875 |
j-invariant |
L |
6.2588335223953 |
L(r)(E,1)/r! |
Ω |
0.64503670424315 |
Real period |
R |
2.4257664258575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18240f1 4560d1 54720eh1 91200fa1 |
Quadratic twists by: -4 8 -3 5 |