Atkin-Lehner |
2- 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
48240bp |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-98937206051328000 = -1 · 212 · 316 · 53 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,47157,-14611142] |
[a1,a2,a3,a4,a6] |
j |
3883959939959/33133870125 |
j-invariant |
L |
2.6695186539561 |
L(r)(E,1)/r! |
Ω |
0.16684491585886 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3015a2 16080y2 |
Quadratic twists by: -4 -3 |