Atkin-Lehner |
2- 3- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
55632u |
Isogeny class |
Conductor |
55632 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
125099900928 = 216 · 33 · 19 · 612 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 6 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1472,-14028] |
[a1,a2,a3,a4,a6] |
j |
86175179713/30541968 |
j-invariant |
L |
4.7596204561423 |
L(r)(E,1)/r! |
Ω |
0.79327007608617 |
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 |
6954l1 |
Quadratic twists by: -4 |