Atkin-Lehner |
2- 5- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
22360f |
Isogeny class |
Conductor |
22360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
734400 |
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 |
2.0701760359863 |
L(r)(E,1)/r! |
Ω |
0.34502933933105 |
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 |
44720g1 111800g1 |
Quadratic twists by: -4 5 |