Atkin-Lehner |
2- 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
53300l |
Isogeny class |
Conductor |
53300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
8877781250000 = 24 · 59 · 132 · 412 |
Discriminant |
Eigenvalues |
2- -2 5- -2 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5333,42088] |
[a1,a2,a3,a4,a6] |
j |
536870912/284089 |
j-invariant |
L |
1.2838375988613 |
L(r)(E,1)/r! |
Ω |
0.64191879899677 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53300n1 |
Quadratic twists by: 5 |