Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040fy |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-76204800000000 = -1 · 214 · 35 · 58 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 5 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1381,-420925] |
[a1,a2,a3,a4,a6] |
j |
-363080704/94921875 |
j-invariant |
L |
2.7355493164721 |
L(r)(E,1)/r! |
Ω |
0.27355493167854 |
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 |
47040j1 11760n1 47040eu1 |
Quadratic twists by: -4 8 -7 |