Atkin-Lehner |
2+ 7+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13202b |
Isogeny class |
Conductor |
13202 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1394342432 = 25 · 72 · 232 · 412 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ -4 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-308,-976] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:23:1] |
Generators of the group modulo torsion |
j |
3237194335257/1394342432 |
j-invariant |
L |
2.3150022495758 |
L(r)(E,1)/r! |
Ω |
1.1848123858948 |
Real period |
R |
0.9769488727228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105616w2 118818bf2 92414f2 |
Quadratic twists by: -4 -3 -7 |