Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8450t |
Isogeny class |
Conductor |
8450 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
-125497034000000 = -1 · 27 · 56 · 137 |
Discriminant |
Eigenvalues |
2- 3 5+ 1 2 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11355,715147] |
[a1,a2,a3,a4,a6] |
j |
-2146689/1664 |
j-invariant |
L |
7.5480846874004 |
L(r)(E,1)/r! |
Ω |
0.53914890624289 |
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 |
67600cl1 76050bd1 338f1 650f1 |
Quadratic twists by: -4 -3 5 13 |