Atkin-Lehner |
2+ 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
16080c |
Isogeny class |
Conductor |
16080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
364611041280 = 211 · 312 · 5 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14536,-669104] |
[a1,a2,a3,a4,a6] |
j |
165866385031058/178032735 |
j-invariant |
L |
1.7392972717414 |
L(r)(E,1)/r! |
Ω |
0.43482431793535 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8040e3 64320cs4 48240y4 80400z4 |
Quadratic twists by: -4 8 -3 5 |