Atkin-Lehner |
2+ 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
28480o |
Isogeny class |
Conductor |
28480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
9332326400 = 222 · 52 · 89 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 -4 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-545,-1375] |
[a1,a2,a3,a4,a6] |
j |
68417929/35600 |
j-invariant |
L |
2.092018399825 |
L(r)(E,1)/r! |
Ω |
1.0460091999127 |
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 |
28480bn1 890b1 |
Quadratic twists by: -4 8 |