Atkin-Lehner |
2+ 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30528g |
Isogeny class |
Conductor |
30528 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-7283414466035712 = -1 · 226 · 36 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 0 -5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14171340,20533571696] |
[a1,a2,a3,a4,a6] |
j |
-1646982616152408625/38112512 |
j-invariant |
L |
0.60656243679766 |
L(r)(E,1)/r! |
Ω |
0.30328121839916 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30528bk2 954e2 3392g2 |
Quadratic twists by: -4 8 -3 |