Atkin-Lehner |
2- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
71200j |
Isogeny class |
Conductor |
71200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
990125000000 = 26 · 59 · 892 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 0 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3425,60500] |
[a1,a2,a3,a4,a6] |
j |
4443297984/990125 |
j-invariant |
L |
3.314951996685 |
L(r)(E,1)/r! |
Ω |
0.8287379926326 |
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 |
71200a1 14240h1 |
Quadratic twists by: -4 5 |