Atkin-Lehner |
2- 3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
125400dk |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
225280 |
Modular degree for the optimal curve |
Δ |
-10345500000000 = -1 · 28 · 32 · 59 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5292,-42912] |
[a1,a2,a3,a4,a6] |
j |
32774128/20691 |
j-invariant |
L |
3.3230655189776 |
L(r)(E,1)/r! |
Ω |
0.41538319391089 |
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 |
125400z1 |
Quadratic twists by: 5 |