Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
18600bb |
Isogeny class |
Conductor |
18600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-1157068800 = -1 · 211 · 36 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 -1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-288,-2592] |
[a1,a2,a3,a4,a6] |
j |
-51777170/22599 |
j-invariant |
L |
3.4035456210417 |
L(r)(E,1)/r! |
Ω |
0.56725760350695 |
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 |
37200b1 55800v1 18600g1 |
Quadratic twists by: -4 -3 5 |