Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520do |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
3949014915256320 = 212 · 39 · 5 · 73 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147027,-21487534] |
[a1,a2,a3,a4,a6] |
j |
117713838907729/1322517105 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
4095m1 21840ba1 |
Quadratic twists by: -4 -3 |