Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
36600bc |
Isogeny class |
Conductor |
36600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-87840000000 = -1 · 211 · 32 · 57 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 -5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1408,-25312] |
[a1,a2,a3,a4,a6] |
j |
-9653618/2745 |
j-invariant |
L |
3.0720799063677 |
L(r)(E,1)/r! |
Ω |
0.384009988296 |
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 |
73200l1 109800s1 7320b1 |
Quadratic twists by: -4 -3 5 |