Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120x |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7438855501440000 = 210 · 38 · 54 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-218163,39000962] |
[a1,a2,a3,a4,a6] |
Generators |
[11:6050:1] |
Generators of the group modulo torsion |
j |
868327204/5625 |
j-invariant |
L |
4.4130825603986 |
L(r)(E,1)/r! |
Ω |
0.42003023423136 |
Real period |
R |
1.3133228880232 |
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 |
43560bt4 29040o4 720c3 |
Quadratic twists by: -4 -3 -11 |