Atkin-Lehner |
2- 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51984bf |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
35390933434368 = 218 · 39 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22059,1228122] |
[a1,a2,a3,a4,a6] |
j |
2146689/64 |
j-invariant |
L |
2.5979002455275 |
L(r)(E,1)/r! |
Ω |
0.64947506133364 |
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 |
6498m1 51984bi1 51984bg1 |
Quadratic twists by: -4 -3 -19 |