Atkin-Lehner |
3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18525p |
Isogeny class |
Conductor |
18525 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-11578125 = -1 · 3 · 56 · 13 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ -3 0 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63,-258] |
[a1,a2,a3,a4,a6] |
j |
-1771561/741 |
j-invariant |
L |
0.83022589953192 |
L(r)(E,1)/r! |
Ω |
0.83022589953192 |
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 |
55575u1 741a1 |
Quadratic twists by: -3 5 |