Atkin-Lehner |
2+ 3+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040c |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7.36387914906E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 6 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-86824136,311394552336] |
[a1,a2,a3,a4,a6] |
Generators |
[6048:86436:1] |
Generators of the group modulo torsion |
j |
35343957446866000172627858/3595644115751953125 |
j-invariant |
L |
3.7325382716001 |
L(r)(E,1)/r! |
Ω |
0.12673913277399 |
Real period |
R |
3.6813198353769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011803 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44520j2 |
Quadratic twists by: -4 |