Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680dx |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
1129075200000 = 212 · 36 · 55 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-150132,22390144] |
[a1,a2,a3,a4,a6] |
Generators |
[188:900:1] |
Generators of the group modulo torsion |
j |
125330290485184/378125 |
j-invariant |
L |
5.9941413961857 |
L(r)(E,1)/r! |
Ω |
0.75731772724811 |
Real period |
R |
0.79149624794431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680df2 15840b1 3520t2 |
Quadratic twists by: -4 8 -3 |