Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86800bz |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
10547936000000000 = 214 · 59 · 73 · 312 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -6 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-365866408,2693470699188] |
[a1,a2,a3,a4,a6] |
Generators |
[11012:5642:1] |
Generators of the group modulo torsion |
j |
84627468364197487202209/164811500 |
j-invariant |
L |
3.9975521203094 |
L(r)(E,1)/r! |
Ω |
0.18609421764627 |
Real period |
R |
1.7901112026376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999881261 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10850i4 17360s4 |
Quadratic twists by: -4 5 |