Atkin-Lehner |
3- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18525u |
Isogeny class |
Conductor |
18525 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-30962070433125 = -1 · 34 · 54 · 13 · 196 |
Discriminant |
Eigenvalues |
-1 3- 5- -3 -5 13- -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11438,-542583] |
[a1,a2,a3,a4,a6] |
Generators |
[133:475:1] |
Generators of the group modulo torsion |
j |
-264786808167025/49539312693 |
j-invariant |
L |
2.919801639772 |
L(r)(E,1)/r! |
Ω |
0.2285066839301 |
Real period |
R |
0.53240631549483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55575bj1 18525d1 |
Quadratic twists by: -3 5 |