Atkin-Lehner |
2+ 3+ 37+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
16206a |
Isogeny class |
Conductor |
16206 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
518073408 = 26 · 34 · 372 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 6 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-889,-10523] |
[a1,a2,a3,a4,a6] |
j |
77838074542873/518073408 |
j-invariant |
L |
1.7491001977907 |
L(r)(E,1)/r! |
Ω |
0.87455009889534 |
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 |
129648z1 48618f1 |
Quadratic twists by: -4 -3 |