Atkin-Lehner |
3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8925p |
Isogeny class |
Conductor |
8925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-1913296875 = -1 · 3 · 56 · 74 · 17 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ -5 5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-133,-2231] |
[a1,a2,a3,a4,a6] |
j |
-16777216/122451 |
j-invariant |
L |
1.2439802022449 |
L(r)(E,1)/r! |
Ω |
0.62199010112244 |
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 |
26775bc1 357b1 62475t1 |
Quadratic twists by: -3 5 -7 |