Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480cr |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-3.6883519814551E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17909464,1666375860] |
[a1,a2,a3,a4,a6] |
j |
155099895405729262880471/90047655797243760000 |
j-invariant |
L |
3.2153073563945 |
L(r)(E,1)/r! |
Ω |
0.057416202792758 |
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 |
2310b4 73920gb3 55440ex3 92400dn3 |
Quadratic twists by: -4 8 -3 5 |