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 |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-729479905280000 = -1 · 221 · 54 · 7 · 433 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 3 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,18944,819200] |
[a1,a2,a3,a4,a6] |
j |
183550636104191/178095680000 |
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 |
3010f1 96320bs1 120400bs1 |
Quadratic twists by: -4 8 5 |