Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240a |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1.6904215834472E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1469761,657176065] |
[a1,a2,a3,a4,a6] |
Generators |
[10245662271:-6640652182892:24389] |
Generators of the group modulo torsion |
j |
10715544157908977288/515875727370375 |
j-invariant |
L |
4.1167551211453 |
L(r)(E,1)/r! |
Ω |
0.21678510585468 |
Real period |
R |
18.990027497115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18240bf3 9120r3 54720bn3 91200cm3 |
Quadratic twists by: -4 8 -3 5 |