Atkin-Lehner |
3- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
44403f |
Isogeny class |
Conductor |
44403 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1641600 |
Modular degree for the optimal curve |
Δ |
-1.026818898656E+20 |
Discriminant |
Eigenvalues |
2 3- 0 -2 -5 -2 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1036672,-269168623] |
[a1,a2,a3,a4,a6] |
j |
2618941474304000/2182590434763 |
j-invariant |
L |
3.1314338716816 |
L(r)(E,1)/r! |
Ω |
0.10438112906182 |
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 |
2337a1 |
Quadratic twists by: -19 |