Atkin-Lehner |
2- 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
69384z |
Isogeny class |
Conductor |
69384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
261214662912 = 28 · 3 · 78 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 0 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3348,-71520] |
[a1,a2,a3,a4,a6] |
j |
137842000/8673 |
j-invariant |
L |
2.520353333502 |
L(r)(E,1)/r! |
Ω |
0.63008833458283 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9912i1 |
Quadratic twists by: -7 |