Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480c |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
512479044000000 = 28 · 32 · 56 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-628836,-191722464] |
[a1,a2,a3,a4,a6] |
Generators |
[188245164:213909000:205379] |
Generators of the group modulo torsion |
j |
107422839278466723664/2001871265625 |
j-invariant |
L |
3.9753139486955 |
L(r)(E,1)/r! |
Ω |
0.16953744489409 |
Real period |
R |
11.723999825463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9240bg2 73920hv2 55440bi2 92400cl2 |
Quadratic twists by: -4 8 -3 5 |