Atkin-Lehner |
2+ 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592bi |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
907279110144 = 212 · 32 · 114 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19849,1068791] |
[a1,a2,a3,a4,a6] |
Generators |
[29:720:1] |
Generators of the group modulo torsion |
j |
211155082374592/221503689 |
j-invariant |
L |
5.7895870674582 |
L(r)(E,1)/r! |
Ω |
0.8813454873467 |
Real period |
R |
3.2845161999449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000964 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
86592w2 43296x1 |
Quadratic twists by: -4 8 |