Atkin-Lehner |
2- 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16920n |
Isogeny class |
Conductor |
16920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
9251010000 = 24 · 39 · 54 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3882,92981] |
[a1,a2,a3,a4,a6] |
j |
554680367104/793125 |
j-invariant |
L |
2.5909959142698 |
L(r)(E,1)/r! |
Ω |
1.2954979571349 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33840n1 5640a1 84600l1 |
Quadratic twists by: -4 -3 5 |