Atkin-Lehner |
2- 3- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810dt |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.9561977741797E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22116803,-40023058669] |
[a1,a2,a3,a4,a6] |
Generators |
[-2739:2332:1] |
Generators of the group modulo torsion |
j |
1641206446466677841336041/268339886718750000 |
j-invariant |
L |
10.844702747437 |
L(r)(E,1)/r! |
Ω |
0.069618270444955 |
Real period |
R |
4.8679313456569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978757 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270bn4 |
Quadratic twists by: -3 |