Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550er |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-49407405468750 = -1 · 2 · 312 · 58 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4945,-311803] |
[a1,a2,a3,a4,a6] |
j |
46969655/173502 |
j-invariant |
L |
5.8053432207238 |
L(r)(E,1)/r! |
Ω |
0.32251906785237 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17850y1 53550v1 |
Quadratic twists by: -3 5 |