Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360cb |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
2.0336688683756E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-82559136,-288751969836] |
[a1,a2,a3,a4,a6] |
j |
258286045443018193442/8440380939375 |
j-invariant |
L |
3.2054495363184 |
L(r)(E,1)/r! |
Ω |
0.050085166395956 |
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 |
64680bh6 18480m5 |
Quadratic twists by: -4 -7 |