Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
96432cn |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2489445310464 = 213 · 32 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21600784,38634158996] |
[a1,a2,a3,a4,a6] |
Generators |
[2684:90:1] [141514:18228735:8] |
Generators of the group modulo torsion |
j |
2313045024604457473/5166 |
j-invariant |
L |
11.777548055275 |
L(r)(E,1)/r! |
Ω |
0.37599852660403 |
Real period |
R |
15.661694424547 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12054bb3 13776j3 |
Quadratic twists by: -4 -7 |