Atkin-Lehner |
2+ 3- 5- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
32190n |
Isogeny class |
Conductor |
32190 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
9494432613450 = 2 · 314 · 52 · 29 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6048,-104372] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:300:1] |
Generators of the group modulo torsion |
j |
24459965018258041/9494432613450 |
j-invariant |
L |
5.8802228943409 |
L(r)(E,1)/r! |
Ω |
0.55954994783732 |
Real period |
R |
0.75063168649682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96570o2 |
Quadratic twists by: -3 |