Atkin-Lehner |
2+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33488f |
Isogeny class |
Conductor |
33488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
232552043988992 = 211 · 74 · 132 · 234 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15851,227386] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:966:1] |
Generators of the group modulo torsion |
j |
215062038362754/113550802729 |
j-invariant |
L |
4.1266326438756 |
L(r)(E,1)/r! |
Ω |
0.48919923040133 |
Real period |
R |
2.1088711855137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16744g3 |
Quadratic twists by: -4 |