Atkin-Lehner |
5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
109025d |
Isogeny class |
Conductor |
109025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
5323486328125 = 513 · 72 · 89 |
Discriminant |
Eigenvalues |
1 1 5+ 7- 5 5 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-74751,-7871727] |
[a1,a2,a3,a4,a6] |
j |
60332354624689/6953125 |
j-invariant |
L |
4.6197552889926 |
L(r)(E,1)/r! |
Ω |
0.28873471455432 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21805e1 109025b1 |
Quadratic twists by: 5 -7 |