Atkin-Lehner |
2+ 5- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
44720g |
Isogeny class |
Conductor |
44720 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1468800 |
Modular degree for the optimal curve |
Δ |
-61155512288000000 = -1 · 211 · 56 · 13 · 435 |
Discriminant |
Eigenvalues |
2+ 3 5- -5 3 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1080667,-432563926] |
[a1,a2,a3,a4,a6] |
j |
-68150560039403452002/29861089984375 |
j-invariant |
L |
4.4420804792438 |
L(r)(E,1)/r! |
Ω |
0.074034674655044 |
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 |
22360f1 |
Quadratic twists by: -4 |