Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696o |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
571304102510592 = 214 · 39 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11- 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65340,6324912] |
[a1,a2,a3,a4,a6] |
j |
54000 |
j-invariant |
L |
4.1423204346205 |
L(r)(E,1)/r! |
Ω |
0.51779005790715 |
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 |
69696ei4 4356c4 69696o2 576a4 |
Quadratic twists by: -4 8 -3 -11 |