Atkin-Lehner |
2+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53482c |
Isogeny class |
Conductor |
53482 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8894324582043472 = 24 · 116 · 13 · 176 |
Discriminant |
Eigenvalues |
2+ 0 -4 2 11- 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-146614,-21089436] |
[a1,a2,a3,a4,a6] |
Generators |
[-205:668:1] |
Generators of the group modulo torsion |
j |
196741326427281/5020614352 |
j-invariant |
L |
2.555860413462 |
L(r)(E,1)/r! |
Ω |
0.24436079376535 |
Real period |
R |
5.2296859372241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999745 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
442b2 |
Quadratic twists by: -11 |