Atkin-Lehner |
2- 11- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13156a |
Isogeny class |
Conductor |
13156 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-75274211584 = -1 · 28 · 11 · 133 · 233 |
Discriminant |
Eigenvalues |
2- -2 3 -1 11- 13- 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,396,-12716] |
[a1,a2,a3,a4,a6] |
j |
26759139248/294039889 |
j-invariant |
L |
1.6091562300719 |
L(r)(E,1)/r! |
Ω |
0.53638541002396 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52624e2 118404k2 |
Quadratic twists by: -4 -3 |