Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11088bj |
Isogeny class |
Conductor |
11088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-344998909829984256 = -1 · 212 · 36 · 72 · 119 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11+ -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,63456,-27581776] |
[a1,a2,a3,a4,a6] |
Generators |
[1382069:35512589:2197] |
Generators of the group modulo torsion |
j |
9463555063808/115539436859 |
j-invariant |
L |
3.246976557917 |
L(r)(E,1)/r! |
Ω |
0.14904394055747 |
Real period |
R |
10.892682204229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
693c3 44352ec3 1232f3 77616fm3 |
Quadratic twists by: -4 8 -3 -7 |