Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120df |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3.2596268880384E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11735427,-15228016254] |
[a1,a2,a3,a4,a6] |
Generators |
[-1778:4100:1] |
Generators of the group modulo torsion |
j |
685429074513/12500000 |
j-invariant |
L |
6.4244358212043 |
L(r)(E,1)/r! |
Ω |
0.081659293990313 |
Real period |
R |
4.9171039695397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004874 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10890f2 87120cs2 87120de2 |
Quadratic twists by: -4 -3 -11 |