Atkin-Lehner |
2- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
32450o |
Isogeny class |
Conductor |
32450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-6689414336000000 = -1 · 212 · 56 · 116 · 59 |
Discriminant |
Eigenvalues |
2- -1 5+ -5 11+ 4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,45212,-1320219] |
[a1,a2,a3,a4,a6] |
Generators |
[261:5193:1] |
Generators of the group modulo torsion |
j |
654130263799943/428122517504 |
j-invariant |
L |
4.7741745529768 |
L(r)(E,1)/r! |
Ω |
0.24051467690448 |
Real period |
R |
0.82707609476311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1298a2 |
Quadratic twists by: 5 |