Atkin-Lehner |
5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
54665h |
Isogeny class |
Conductor |
54665 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
159360998544920965 = 5 · 133 · 299 |
Discriminant |
Eigenvalues |
0 -1 5- -1 0 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-223145,-35663859] |
[a1,a2,a3,a4,a6] |
Generators |
[-193:420:1] |
Generators of the group modulo torsion |
j |
2065851744256/267913165 |
j-invariant |
L |
3.2574290916021 |
L(r)(E,1)/r! |
Ω |
0.22153868035446 |
Real period |
R |
2.4506097433114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1885e2 |
Quadratic twists by: 29 |