Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680dw |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1313832960000 = 218 · 36 · 54 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34092,2422224] |
[a1,a2,a3,a4,a6] |
Generators |
[58:800:1] |
Generators of the group modulo torsion |
j |
22930509321/6875 |
j-invariant |
L |
5.8588279646211 |
L(r)(E,1)/r! |
Ω |
0.83990542047291 |
Real period |
R |
0.87194757615124 |
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 |
31680bh4 7920y4 3520o3 |
Quadratic twists by: -4 8 -3 |