Atkin-Lehner |
2+ 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5434f |
Isogeny class |
Conductor |
5434 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
17026940463104 = 211 · 116 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 2 -2 2 11- 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-142521,20649125] |
[a1,a2,a3,a4,a6] |
j |
320158514472168582937/17026940463104 |
j-invariant |
L |
1.9650509399747 |
L(r)(E,1)/r! |
Ω |
0.65501697999157 |
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 |
43472l2 48906bd2 59774ba2 70642k2 |
Quadratic twists by: -4 -3 -11 13 |