Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
44528v |
Isogeny class |
Conductor |
44528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
15039261946413056 = 225 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 2 -1 -1 11- 3 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-166536,25539824] |
[a1,a2,a3,a4,a6] |
j |
70393838689/2072576 |
j-invariant |
L |
3.1383110171264 |
L(r)(E,1)/r! |
Ω |
0.39228887709463 |
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 |
5566b1 4048f1 |
Quadratic twists by: -4 -11 |