Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3120o |
Isogeny class |
Conductor |
3120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
26953541222400 = 222 · 32 · 52 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-86536,-9766160] |
[a1,a2,a3,a4,a6] |
j |
17496824387403529/6580454400 |
j-invariant |
L |
0.55672372639476 |
L(r)(E,1)/r! |
Ω |
0.27836186319738 |
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 |
390g2 12480dg2 9360bz2 15600cl2 |
Quadratic twists by: -4 8 -3 5 |