Atkin-Lehner |
5- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44785d |
Isogeny class |
Conductor |
44785 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
370656 |
Modular degree for the optimal curve |
Δ |
182662501699925 = 52 · 1310 · 53 |
Discriminant |
Eigenvalues |
0 -2 5- 1 0 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1580375,764168331] |
[a1,a2,a3,a4,a6] |
j |
3166437474304/1325 |
j-invariant |
L |
0.92555447415665 |
L(r)(E,1)/r! |
Ω |
0.46277723711782 |
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 |
44785a1 |
Quadratic twists by: 13 |