Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
87362bc |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
665737654931554304 = 218 · 117 · 194 |
Discriminant |
Eigenvalues |
2- -2 -3 1 11- 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2490727,1512277449] |
[a1,a2,a3,a4,a6] |
Generators |
[758:-8123:1] |
Generators of the group modulo torsion |
j |
7401701968633/2883584 |
j-invariant |
L |
5.8064355229314 |
L(r)(E,1)/r! |
Ω |
0.28227523118403 |
Real period |
R |
0.2856961183878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7942f2 87362s2 |
Quadratic twists by: -11 -19 |