Atkin-Lehner |
2- 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
84600bu |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
1916928 |
Modular degree for the optimal curve |
Δ |
-5335931173500000000 = -1 · 28 · 37 · 59 · 474 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-634575,-224072750] |
[a1,a2,a3,a4,a6] |
j |
-9691367618896/1829880375 |
j-invariant |
L |
1.3395205743477 |
L(r)(E,1)/r! |
Ω |
0.083720037180644 |
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 |
28200k1 16920e1 |
Quadratic twists by: -3 5 |