Atkin-Lehner |
2- 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
72720bw |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
11422508544000000 = 215 · 37 · 56 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 0 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56307,-80206] |
[a1,a2,a3,a4,a6] |
Generators |
[-167:2160:1] [-137:2250:1] |
Generators of the group modulo torsion |
j |
6611856250609/3825375000 |
j-invariant |
L |
11.070037306973 |
L(r)(E,1)/r! |
Ω |
0.33973830388265 |
Real period |
R |
0.67883360396146 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9090i2 24240u2 |
Quadratic twists by: -4 -3 |