Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550eq |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-7438898250 = -1 · 2 · 36 · 53 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-410,-5133] |
[a1,a2,a3,a4,a6] |
j |
-83453453/81634 |
j-invariant |
L |
4.0825893699825 |
L(r)(E,1)/r! |
Ω |
0.51032367126749 |
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 |
5950i1 53550cf1 |
Quadratic twists by: -3 5 |