Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680da |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-139723056000000 = -1 · 210 · 38 · 56 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11472,-315848] |
[a1,a2,a3,a4,a6] |
j |
223673040896/187171875 |
j-invariant |
L |
3.8590148000059 |
L(r)(E,1)/r! |
Ω |
0.32158456666705 |
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 |
31680r3 7920bh3 10560cj3 |
Quadratic twists by: -4 8 -3 |