Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200ej |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.29696875E+25 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-190100300,-993848998000] |
[a1,a2,a3,a4,a6] |
Generators |
[4528901031:754042842971:132651] |
Generators of the group modulo torsion |
j |
370972884164057659458/6332855224609375 |
j-invariant |
L |
5.6369032211823 |
L(r)(E,1)/r! |
Ω |
0.040700858454269 |
Real period |
R |
17.311991111907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040313 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200bh3 30800a3 24640bu3 |
Quadratic twists by: -4 8 5 |