Atkin-Lehner |
7- 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119119g |
Isogeny class |
Conductor |
119119 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8.8438185913258E+22 |
Discriminant |
Eigenvalues |
1 0 -2 7- 11- 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15395123,-18322205084] |
[a1,a2,a3,a4,a6] |
Generators |
[-636498659760:-762370674983:207474688] |
Generators of the group modulo torsion |
j |
3429927791110540216953/751712177011768973 |
j-invariant |
L |
3.6786203437646 |
L(r)(E,1)/r! |
Ω |
0.077406730010516 |
Real period |
R |
11.880815671566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999450615 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17017d3 |
Quadratic twists by: -7 |