Atkin-Lehner |
2- 3- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
56232l |
Isogeny class |
Conductor |
56232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
1041397294392576 = 28 · 316 · 113 · 71 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11+ 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25356,-66908] |
[a1,a2,a3,a4,a6] |
j |
9660474262528/5580189549 |
j-invariant |
L |
3.3061548705871 |
L(r)(E,1)/r! |
Ω |
0.41326935902569 |
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 |
112464h1 18744b1 |
Quadratic twists by: -4 -3 |