Atkin-Lehner |
2- 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
111384cg |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1.4526286311635E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,346245,574549414] |
[a1,a2,a3,a4,a6] |
Generators |
[398:27846:1] |
Generators of the group modulo torsion |
j |
6149598456393500/194592955777857 |
j-invariant |
L |
6.6967641345722 |
L(r)(E,1)/r! |
Ω |
0.13824519840312 |
Real period |
R |
2.0183835778346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027565 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37128k2 |
Quadratic twists by: -3 |