Atkin-Lehner |
3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
92565p |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
223615287225 = 33 · 52 · 117 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 11- -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2019,27000] |
[a1,a2,a3,a4,a6] |
j |
19034163/4675 |
j-invariant |
L |
1.867162863669 |
L(r)(E,1)/r! |
Ω |
0.93358145608331 |
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 |
92565f1 8415i1 |
Quadratic twists by: -3 -11 |