Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400s |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
31899746025000000 = 26 · 312 · 58 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-200325,-33423500] |
[a1,a2,a3,a4,a6] |
j |
1219555693504/43758225 |
j-invariant |
L |
0.90465442166273 |
L(r)(E,1)/r! |
Ω |
0.22616360545908 |
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 |
50400dn1 100800cw2 16800br1 10080bp1 |
Quadratic twists by: -4 8 -3 5 |