Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120bm |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
871298267172664320 = 210 · 38 · 5 · 1110 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1089363,435319522] |
[a1,a2,a3,a4,a6] |
Generators |
[-693:29282:1] |
Generators of the group modulo torsion |
j |
108108036004/658845 |
j-invariant |
L |
4.0542644006991 |
L(r)(E,1)/r! |
Ω |
0.28242134592871 |
Real period |
R |
1.7944219013997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43560bz3 29040br3 7920f3 |
Quadratic twists by: -4 -3 -11 |