Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
11088f |
Isogeny class |
Conductor |
11088 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-11711129278464 = -1 · 211 · 39 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3699,-186030] |
[a1,a2,a3,a4,a6] |
j |
-138853062/290521 |
j-invariant |
L |
2.2969352556885 |
L(r)(E,1)/r! |
Ω |
0.28711690696106 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5544b2 44352cw2 11088c2 77616z2 |
Quadratic twists by: -4 8 -3 -7 |