Atkin-Lehner |
3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
18135c |
Isogeny class |
Conductor |
18135 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23616 |
Modular degree for the optimal curve |
Δ |
38114456445 = 39 · 5 · 13 · 313 |
Discriminant |
Eigenvalues |
2 3+ 5+ -1 2 13+ 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1863,-29491] |
[a1,a2,a3,a4,a6] |
j |
36330467328/1936415 |
j-invariant |
L |
4.3745748790093 |
L(r)(E,1)/r! |
Ω |
0.72909581316822 |
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 |
18135f1 90675f1 |
Quadratic twists by: -3 5 |