Atkin-Lehner |
2- 3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
62244bh |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-26889001223758128 = -1 · 24 · 39 · 72 · 136 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-121260,-18066323] |
[a1,a2,a3,a4,a6] |
j |
-16905533974528000/2305298458827 |
j-invariant |
L |
1.5234922974393 |
L(r)(E,1)/r! |
Ω |
0.12695769130809 |
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 |
20748u1 |
Quadratic twists by: -3 |