Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
58080i |
Isogeny class |
Conductor |
58080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1346953259520 = 29 · 33 · 5 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1916680,-1020706520] |
[a1,a2,a3,a4,a6] |
Generators |
[55083399296047:-3330638742982650:13194446147] |
Generators of the group modulo torsion |
j |
858512652814088/1485 |
j-invariant |
L |
5.5556903228436 |
L(r)(E,1)/r! |
Ω |
0.12831048100848 |
Real period |
R |
21.649401822023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000001326 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58080v4 116160hq4 5280n3 |
Quadratic twists by: -4 8 -11 |