Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480dc |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2139291000000000000 = 212 · 34 · 512 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-331240,20678900] |
[a1,a2,a3,a4,a6] |
Generators |
[20:3750:1] |
Generators of the group modulo torsion |
j |
981281029968144361/522287841796875 |
j-invariant |
L |
6.210741384787 |
L(r)(E,1)/r! |
Ω |
0.228279718525 |
Real period |
R |
0.56680657551375 |
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 |
1155f3 73920ec4 55440cv4 92400em4 |
Quadratic twists by: -4 8 -3 5 |