Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480c |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
39118464000 = 210 · 34 · 53 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10061336,-12280414464] |
[a1,a2,a3,a4,a6] |
Generators |
[5396324721566:-9779661730992177:1643032] |
Generators of the group modulo torsion |
j |
109999511474021786850916/38201625 |
j-invariant |
L |
3.9753139486955 |
L(r)(E,1)/r! |
Ω |
0.084768722447046 |
Real period |
R |
23.447999650926 |
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 |
9240bg3 73920hv4 55440bi4 92400cl4 |
Quadratic twists by: -4 8 -3 5 |