Atkin-Lehner |
2- 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89792j |
Isogeny class |
Conductor |
89792 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-87636992 = -1 · 210 · 23 · 612 |
Discriminant |
Eigenvalues |
2- -1 2 2 6 5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17,457] |
[a1,a2,a3,a4,a6] |
j |
-562432/85583 |
j-invariant |
L |
3.1304244817525 |
L(r)(E,1)/r! |
Ω |
1.5652123085836 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89792c1 22448a1 |
Quadratic twists by: -4 8 |