Atkin-Lehner |
2- 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16428c |
Isogeny class |
Conductor |
16428 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1944 |
Modular degree for the optimal curve |
Δ |
-591408 = -1 · 24 · 33 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 2 3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49,-122] |
[a1,a2,a3,a4,a6] |
j |
-606208/27 |
j-invariant |
L |
0.89837003377125 |
L(r)(E,1)/r! |
Ω |
0.89837003377125 |
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 |
65712bc1 49284i1 16428b1 |
Quadratic twists by: -4 -3 37 |