Atkin-Lehner |
2+ 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592q |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
3068255916785664 = 236 · 32 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11- -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48609,3164769] |
[a1,a2,a3,a4,a6] |
j |
48455467135993/11704467456 |
j-invariant |
L |
1.6896763801851 |
L(r)(E,1)/r! |
Ω |
0.42241908564597 |
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 |
86592cx1 2706e1 |
Quadratic twists by: -4 8 |