Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
76880p |
Isogeny class |
Conductor |
76880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
698688337871667200 = 215 · 52 · 318 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 2 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16391136,-25536904960] |
[a1,a2,a3,a4,a6] |
Generators |
[-365874638577664:-26395506188112:156503678869] |
Generators of the group modulo torsion |
j |
133974081659809/192200 |
j-invariant |
L |
9.1708933896916 |
L(r)(E,1)/r! |
Ω |
0.075032138831227 |
Real period |
R |
15.278275305912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987488 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9610b2 2480l2 |
Quadratic twists by: -4 -31 |