Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
47040x |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-249039403200 = -1 · 26 · 33 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 1 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,915,-21825] |
[a1,a2,a3,a4,a6] |
j |
229376/675 |
j-invariant |
L |
3.0331980183213 |
L(r)(E,1)/r! |
Ω |
0.5055330030348 |
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 |
47040go1 735d1 47040cc1 |
Quadratic twists by: -4 8 -7 |