Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
16170u |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1281197610000 = 24 · 32 · 54 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5024,-126178] |
[a1,a2,a3,a4,a6] |
j |
119168121961/10890000 |
j-invariant |
L |
2.2816018067826 |
L(r)(E,1)/r! |
Ω |
0.57040045169566 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
129360dt2 48510dt2 80850en2 330e2 |
Quadratic twists by: -4 -3 5 -7 |