Atkin-Lehner |
2+ 3- 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810bt |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
4608 |
Product of Tamagawa factors cp |
Δ |
4.9619199893071E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-750012375204,250006374900998928] |
[a1,a2,a3,a4,a6] |
j |
64003168104546012500462338813649467969/68064746081030015625000000 |
j-invariant |
L |
2.8813191197519 |
L(r)(E,1)/r! |
Ω |
0.02251030497809 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
12 |
Number of elements in the torsion subgroup |
Twists |
39270cn6 |
Quadratic twists by: -3 |