Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11154l |
Isogeny class |
Conductor |
11154 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
840697815672 = 23 · 33 · 116 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11- 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14615,672573] |
[a1,a2,a3,a4,a6] |
Generators |
[31:485:1] |
Generators of the group modulo torsion |
j |
157158018407125/382657176 |
j-invariant |
L |
2.8267914225308 |
L(r)(E,1)/r! |
Ω |
0.89324413112331 |
Real period |
R |
1.0548782518451 |
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 |
89232cg2 33462cr2 122694cu2 11154y2 |
Quadratic twists by: -4 -3 -11 13 |