Atkin-Lehner |
5- 7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18655g |
Isogeny class |
Conductor |
18655 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
296064 |
Modular degree for the optimal curve |
Δ |
255590233576917785 = 5 · 712 · 133 · 412 |
Discriminant |
Eigenvalues |
1 2 5- 7- -6 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-345487,-74425056] |
[a1,a2,a3,a4,a6] |
j |
4560587655341220430201/255590233576917785 |
j-invariant |
L |
3.5569608305272 |
L(r)(E,1)/r! |
Ω |
0.19760893502929 |
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 |
93275b1 |
Quadratic twists by: 5 |