Atkin-Lehner |
2- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
23600bi |
Isogeny class |
Conductor |
23600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
-77332480000 = -1 · 221 · 54 · 59 |
Discriminant |
Eigenvalues |
2- 2 5- -3 -4 -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,392,12912] |
[a1,a2,a3,a4,a6] |
j |
2595575/30208 |
j-invariant |
L |
1.6037906448788 |
L(r)(E,1)/r! |
Ω |
0.80189532243941 |
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 |
2950i1 94400di1 23600y1 |
Quadratic twists by: -4 8 5 |