Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235bj |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
24015426168825 = 37 · 52 · 7 · 137 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-216774,38900655] |
[a1,a2,a3,a4,a6] |
j |
320153881321/6825 |
j-invariant |
L |
2.4880558372 |
L(r)(E,1)/r! |
Ω |
0.62201395932022 |
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 |
17745q1 4095h1 |
Quadratic twists by: -3 13 |