Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120x |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
669496995129600 = 28 · 310 · 52 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22143,-242242] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:484:1] |
Generators of the group modulo torsion |
j |
3631696/2025 |
j-invariant |
L |
4.4130825603986 |
L(r)(E,1)/r! |
Ω |
0.42003023423136 |
Real period |
R |
2.6266457760464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958675 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43560bt2 29040o2 720c2 |
Quadratic twists by: -4 -3 -11 |