Atkin-Lehner |
3- 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
11055g |
Isogeny class |
Conductor |
11055 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2222055 = 32 · 5 · 11 · 672 |
Discriminant |
Eigenvalues |
1 3- 5- 2 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-298,-1999] |
[a1,a2,a3,a4,a6] |
Generators |
[62110:437579:1000] |
Generators of the group modulo torsion |
j |
2912566550041/2222055 |
j-invariant |
L |
7.1645129289583 |
L(r)(E,1)/r! |
Ω |
1.1495823803767 |
Real period |
R |
6.2322744774589 |
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 |
33165m2 55275e2 121605m2 |
Quadratic twists by: -3 5 -11 |