Atkin-Lehner |
2+ 3- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40896p |
Isogeny class |
Conductor |
40896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
6784155648 = 217 · 36 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 2 5 2 1 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2604,50992] |
[a1,a2,a3,a4,a6] |
j |
20436626/71 |
j-invariant |
L |
5.3482467285462 |
L(r)(E,1)/r! |
Ω |
1.3370616821125 |
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 |
40896ca1 5112c1 4544f1 |
Quadratic twists by: -4 8 -3 |