Atkin-Lehner |
2- 3- 5+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810dq |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
27648 |
Product of Tamagawa factors cp |
Δ |
9.0109450228456E+33 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-82811204123,7954502395245131] |
[a1,a2,a3,a4,a6] |
Generators |
[-284277:92458810:1] |
Generators of the group modulo torsion |
j |
86151626782508161683074667552941161/12360692761105045152384575078400 |
j-invariant |
L |
10.521676630394 |
L(r)(E,1)/r! |
Ω |
0.012485543302707 |
Real period |
R |
4.3891080761874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031229 |
(Analytic) order of Ш |
t |
12 |
Number of elements in the torsion subgroup |
Twists |
39270bp6 |
Quadratic twists by: -3 |