Atkin-Lehner |
2+ 3- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71994o |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
984940968224839392 = 25 · 312 · 138 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 0 5 6 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-805796,274218050] |
[a1,a2,a3,a4,a6] |
j |
70933508361625/1207433952 |
j-invariant |
L |
4.4551989813997 |
L(r)(E,1)/r! |
Ω |
0.27844993774119 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
71994bt1 |
Quadratic twists by: 13 |