Atkin-Lehner |
2- 7+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
53144b |
Isogeny class |
Conductor |
53144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120832 |
Modular degree for the optimal curve |
Δ |
-5602095256576 = -1 · 210 · 78 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ 4 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4048,54716] |
[a1,a2,a3,a4,a6] |
j |
7162060352828/5470796149 |
j-invariant |
L |
1.9492877899754 |
L(r)(E,1)/r! |
Ω |
0.4873219473188 |
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 |
106288b1 |
Quadratic twists by: -4 |