Atkin-Lehner |
5- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
54145w |
Isogeny class |
Conductor |
54145 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17568 |
Modular degree for the optimal curve |
Δ |
17597125 = 53 · 72 · 132 · 17 |
Discriminant |
Eigenvalues |
-2 -1 5- 7- -2 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-170,888] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:32:1] [-1:32:1] |
Generators of the group modulo torsion |
j |
11153895424/359125 |
j-invariant |
L |
4.4526456896302 |
L(r)(E,1)/r! |
Ω |
2.1746835119116 |
Real period |
R |
0.3412485591 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54145e1 |
Quadratic twists by: -7 |