Atkin-Lehner |
2+ 3- 5+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
32430k |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-176586090552540 = -1 · 22 · 33 · 5 · 236 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9034,718952] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:515:1] |
Generators of the group modulo torsion |
j |
-81525761403285529/176586090552540 |
j-invariant |
L |
4.5572835538191 |
L(r)(E,1)/r! |
Ω |
0.50683182238119 |
Real period |
R |
4.4958538045304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
97290bn2 |
Quadratic twists by: -3 |