Atkin-Lehner |
5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
4895a |
Isogeny class |
Conductor |
4895 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4792205 = 5 · 112 · 892 |
Discriminant |
Eigenvalues |
1 2 5+ 2 11+ 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3228,-71953] |
[a1,a2,a3,a4,a6] |
Generators |
[1065928:48099217:512] |
Generators of the group modulo torsion |
j |
3721641121835209/4792205 |
j-invariant |
L |
6.0621326057213 |
L(r)(E,1)/r! |
Ω |
0.63335716785677 |
Real period |
R |
9.5714281188844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78320bd2 44055k2 24475a2 53845b2 |
Quadratic twists by: -4 -3 5 -11 |