Atkin-Lehner |
2+ 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
64032o |
Isogeny class |
Conductor |
64032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
636221952 = 29 · 34 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 0 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25048,1517516] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:1242:1] [95:66:1] |
Generators of the group modulo torsion |
j |
3394612869389000/1242621 |
j-invariant |
L |
10.972856118573 |
L(r)(E,1)/r! |
Ω |
1.3123491240087 |
Real period |
R |
4.1806162391567 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64032d2 128064bz2 |
Quadratic twists by: -4 8 |