Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120s |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4356491335863321600 = 210 · 38 · 52 · 1110 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5271123,4656953378] |
[a1,a2,a3,a4,a6] |
Generators |
[1067:15730:1] |
Generators of the group modulo torsion |
j |
12247559771044/3294225 |
j-invariant |
L |
6.8461296312478 |
L(r)(E,1)/r! |
Ω |
0.23990859515296 |
Real period |
R |
3.5670510393903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002418 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43560bq4 29040n4 7920c3 |
Quadratic twists by: -4 -3 -11 |