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 |
-3766397250000000000 = -1 · 210 · 3 · 512 · 73 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-608256,-204877200] |
[a1,a2,a3,a4,a6] |
Generators |
[37912052287274:-68707351030219627:11543176] |
Generators of the group modulo torsion |
j |
-24304331176056594436/3678122314453125 |
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 |
9240bg4 73920hv3 55440bi3 92400cl3 |
Quadratic twists by: -4 8 -3 5 |