Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47376bm |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
6527512656 = 24 · 311 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34284,-2443345] |
[a1,a2,a3,a4,a6] |
j |
382076793536512/559629 |
j-invariant |
L |
2.8068338680094 |
L(r)(E,1)/r! |
Ω |
0.35085423352329 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11844d1 15792y1 |
Quadratic twists by: -4 -3 |