Atkin-Lehner |
2- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24080f |
Isogeny class |
Conductor |
24080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-117992000000000000 = -1 · 215 · 512 · 73 · 43 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 3 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-448896,117085696] |
[a1,a2,a3,a4,a6] |
j |
-2442316470222480769/28806640625000 |
j-invariant |
L |
1.3325544199847 |
L(r)(E,1)/r! |
Ω |
0.3331386049962 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3010f2 96320bs2 120400bs2 |
Quadratic twists by: -4 8 5 |