Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150cu |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
278784 |
Modular degree for the optimal curve |
Δ |
102892262880000000 = 211 · 3 · 57 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- 1 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-124088,-6710208] |
[a1,a2,a3,a4,a6] |
j |
63088729/30720 |
j-invariant |
L |
5.8777055433609 |
L(r)(E,1)/r! |
Ω |
0.26716843378913 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54450cd1 3630b1 18150be1 |
Quadratic twists by: -3 5 -11 |