Atkin-Lehner |
2+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
111392a |
Isogeny class |
Conductor |
111392 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3.5483630873211E+19 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 0 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-821516,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-480934098:-808755524:531441] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
5.1320988003049 |
L(r)(E,1)/r! |
Ω |
0.17418799063849 |
Real period |
R |
14.731494300585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034415 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111392a2 111392g2 |
Quadratic twists by: -4 -59 |