Atkin-Lehner |
3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55575j |
Isogeny class |
Conductor |
55575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1078272 |
Modular degree for the optimal curve |
Δ |
-3387786873046875 = -1 · 37 · 59 · 133 · 192 |
Discriminant |
Eigenvalues |
-2 3- 5+ -1 -1 13+ -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2223075,-1275793344] |
[a1,a2,a3,a4,a6] |
j |
-106669068376969216/297418875 |
j-invariant |
L |
0.98912445509475 |
L(r)(E,1)/r! |
Ω |
0.061820278563048 |
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 |
18525l1 11115e1 |
Quadratic twists by: -3 5 |