Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200ej |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6.889996036E+23 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24088300,21812418000] |
[a1,a2,a3,a4,a6] |
Generators |
[32981:5924721:1] |
Generators of the group modulo torsion |
j |
1509531602170901796/672851175390625 |
j-invariant |
L |
5.6369032211823 |
L(r)(E,1)/r! |
Ω |
0.081401716908538 |
Real period |
R |
8.6559955559535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040313 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123200bh2 30800a2 24640bu2 |
Quadratic twists by: -4 8 5 |