Atkin-Lehner |
2- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
12104c |
Isogeny class |
Conductor |
12104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
137888768 = 210 · 17 · 892 |
Discriminant |
Eigenvalues |
2- 2 2 -2 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-392,3068] |
[a1,a2,a3,a4,a6] |
Generators |
[426:640:27] |
Generators of the group modulo torsion |
j |
6522128932/134657 |
j-invariant |
L |
6.8780749358951 |
L(r)(E,1)/r! |
Ω |
1.8414675851269 |
Real period |
R |
3.7351050821896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24208c2 96832i2 108936e2 |
Quadratic twists by: -4 8 -3 |