Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040gl |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-4877107200 = -1 · 214 · 35 · 52 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 7 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1941,-33741] |
[a1,a2,a3,a4,a6] |
j |
-1007878144/6075 |
j-invariant |
L |
3.594910346657 |
L(r)(E,1)/r! |
Ω |
0.35949103465888 |
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 |
47040o1 11760by1 47040ex1 |
Quadratic twists by: -4 8 -7 |