Atkin-Lehner |
2- 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71136u |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1140261138432 = 212 · 33 · 134 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 -4 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5100,-130432] |
[a1,a2,a3,a4,a6] |
j |
132651000000/10310521 |
j-invariant |
L |
2.2709109753007 |
L(r)(E,1)/r! |
Ω |
0.56772775083231 |
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 |
71136w2 71136a2 |
Quadratic twists by: -4 -3 |