Atkin-Lehner |
2- 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30960bu |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
9027936000000000000 = 217 · 38 · 512 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9557787,11372319434] |
[a1,a2,a3,a4,a6] |
j |
32337636827233520089/3023437500000 |
j-invariant |
L |
2.6542034192947 |
L(r)(E,1)/r! |
Ω |
0.22118361827449 |
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 |
3870z3 123840fb4 10320o3 |
Quadratic twists by: -4 8 -3 |