Atkin-Lehner |
3+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44403c |
Isogeny class |
Conductor |
44403 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-468718112403 = -1 · 35 · 196 · 41 |
Discriminant |
Eigenvalues |
2 3+ -4 -2 -3 6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3730,-92433] |
[a1,a2,a3,a4,a6] |
j |
-122023936/9963 |
j-invariant |
L |
0.60804709960304 |
L(r)(E,1)/r! |
Ω |
0.3040235498291 |
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 |
123a1 |
Quadratic twists by: -19 |