Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520do |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1082006719828070400 = 212 · 312 · 52 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-268707,19226594] |
[a1,a2,a3,a4,a6] |
j |
718576775407009/362361861225 |
j-invariant |
L |
1.951799170679 |
L(r)(E,1)/r! |
Ω |
0.24397489720072 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4095m2 21840ba2 |
Quadratic twists by: -4 -3 |