Atkin-Lehner |
3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24843n |
Isogeny class |
Conductor |
24843 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-4951759115787551613 = -1 · 34 · 78 · 139 |
Discriminant |
Eigenvalues |
1 3- -4 7+ 5 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,165447,-103868243] |
[a1,a2,a3,a4,a6] |
j |
17999471/177957 |
j-invariant |
L |
2.8793042796398 |
L(r)(E,1)/r! |
Ω |
0.11997101165167 |
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 |
74529p1 24843e1 1911d1 |
Quadratic twists by: -3 -7 13 |