Atkin-Lehner |
2+ 3+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
39216b |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32640 |
Modular degree for the optimal curve |
Δ |
-2595197232 = -1 · 24 · 35 · 192 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -4 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-191,2718] |
[a1,a2,a3,a4,a6] |
j |
-48414521344/162199827 |
j-invariant |
L |
1.2646621839833 |
L(r)(E,1)/r! |
Ω |
1.2646621839801 |
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 |
19608h1 117648e1 |
Quadratic twists by: -4 -3 |