Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600bu |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1170505728000 = -1 · 218 · 36 · 53 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 6 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,447,51777] |
[a1,a2,a3,a4,a6] |
j |
300763/35721 |
j-invariant |
L |
2.663315159895 |
L(r)(E,1)/r! |
Ω |
0.66582878997468 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600hp2 525d2 100800hi2 33600dz2 |
Quadratic twists by: -4 8 -3 5 |