Atkin-Lehner |
2- 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16920o |
Isogeny class |
Conductor |
16920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-394709760 = -1 · 28 · 38 · 5 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,-956] |
[a1,a2,a3,a4,a6] |
j |
-1024/2115 |
j-invariant |
L |
3.0559816241066 |
L(r)(E,1)/r! |
Ω |
0.76399540602665 |
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 |
33840p1 5640b1 84600r1 |
Quadratic twists by: -4 -3 5 |