Atkin-Lehner |
11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
2717c |
Isogeny class |
Conductor |
2717 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
582413079677 = 119 · 13 · 19 |
Discriminant |
Eigenvalues |
0 -2 0 -1 11+ 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-25563,-1581258] |
[a1,a2,a3,a4,a6] |
Generators |
[-742:161:8] |
Generators of the group modulo torsion |
j |
1847464752369664000/582413079677 |
j-invariant |
L |
1.7572720376652 |
L(r)(E,1)/r! |
Ω |
0.37757514707269 |
Real period |
R |
4.6540987967275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43472u3 24453k3 67925d3 29887e3 |
Quadratic twists by: -4 -3 5 -11 |