Atkin-Lehner |
2- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19136w |
Isogeny class |
Conductor |
19136 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
629566133248 = 210 · 133 · 234 |
Discriminant |
Eigenvalues |
2- 0 2 -2 2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2224,-13128] |
[a1,a2,a3,a4,a6] |
Generators |
[94:780:1] |
Generators of the group modulo torsion |
j |
1188031905792/614810677 |
j-invariant |
L |
5.2044574356784 |
L(r)(E,1)/r! |
Ω |
0.73549642012558 |
Real period |
R |
2.3587050837446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19136m1 4784b1 |
Quadratic twists by: -4 8 |