Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
87362bm |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4.1273919908798E+20 |
Discriminant |
Eigenvalues |
2- 1 -4 -3 11- -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3058580,-2279364394] |
[a1,a2,a3,a4,a6] |
Generators |
[2383910:61883409:1000] [31763676:4270316287:1728] |
Generators of the group modulo torsion |
j |
-37966934881/4952198 |
j-invariant |
L |
13.505057544887 |
L(r)(E,1)/r! |
Ω |
0.056668405384333 |
Real period |
R |
29.789654070244 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
722c2 4598k2 |
Quadratic twists by: -11 -19 |