Atkin-Lehner |
2- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5800i |
Isogeny class |
Conductor |
5800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
113281250000 = 24 · 512 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 0 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1283,-7562] |
[a1,a2,a3,a4,a6] |
j |
934979584/453125 |
j-invariant |
L |
1.6747687638998 |
L(r)(E,1)/r! |
Ω |
0.8373843819499 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11600e1 46400r1 52200y1 1160a1 |
Quadratic twists by: -4 8 -3 5 |