Atkin-Lehner |
2- 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16428b |
Isogeny class |
Conductor |
16428 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
71928 |
Modular degree for the optimal curve |
Δ |
-1517391124093872 = -1 · 24 · 33 · 378 |
Discriminant |
Eigenvalues |
2- 3+ 2 -3 2 -3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-67537,-6988238] |
[a1,a2,a3,a4,a6] |
j |
-606208/27 |
j-invariant |
L |
1.3292201139973 |
L(r)(E,1)/r! |
Ω |
0.14769112377747 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65712ba1 49284j1 16428c1 |
Quadratic twists by: -4 -3 37 |