Atkin-Lehner |
2+ 3+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96558o |
Isogeny class |
Conductor |
96558 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10948608 |
Modular degree for the optimal curve |
Δ |
-4.8679149034777E+22 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7868511,-13599457659] |
[a1,a2,a3,a4,a6] |
j |
-22849005426675947/20644711170048 |
j-invariant |
L |
1.3901738455219 |
L(r)(E,1)/r! |
Ω |
0.043442934627136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96558bt1 |
Quadratic twists by: -11 |