Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5544n |
Isogeny class |
Conductor |
5544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-16064649216 = -1 · 211 · 33 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-411,-6890] |
[a1,a2,a3,a4,a6] |
j |
-138853062/290521 |
j-invariant |
L |
1.9892042822743 |
L(r)(E,1)/r! |
Ω |
0.49730107056858 |
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 |
11088c2 44352i2 5544b2 38808bv2 |
Quadratic twists by: -4 8 -3 -7 |