Atkin-Lehner |
2+ 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190c |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
67723813704484080 = 24 · 32 · 5 · 117 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-551278,-157276412] |
[a1,a2,a3,a4,a6] |
j |
10458774902616769/38228327280 |
j-invariant |
L |
0.70099067982093 |
L(r)(E,1)/r! |
Ω |
0.1752476699637 |
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 |
4290q2 |
Quadratic twists by: -11 |