Atkin-Lehner |
2- 3- 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
108072j |
Isogeny class |
Conductor |
108072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-344603350512 = -1 · 24 · 315 · 19 · 79 |
Discriminant |
Eigenvalues |
2- 3- 4 0 0 -6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34023,-2415665] |
[a1,a2,a3,a4,a6] |
Generators |
[219449770:25293825:1030301] |
Generators of the group modulo torsion |
j |
-373416940754176/29544183 |
j-invariant |
L |
9.7711994442529 |
L(r)(E,1)/r! |
Ω |
0.17576174114797 |
Real period |
R |
13.898359519774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999703916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36024d1 |
Quadratic twists by: -3 |