Atkin-Lehner |
2+ 3+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
222c |
Isogeny class |
Conductor |
222 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36 |
Modular degree for the optimal curve |
Δ |
-255744 = -1 · 28 · 33 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,16,0] |
[a1,a2,a3,a4,a6] |
j |
410172407/255744 |
j-invariant |
L |
0.89650114973835 |
L(r)(E,1)/r! |
Ω |
1.7930022994767 |
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 |
1776j1 7104g1 666f1 5550bf1 |
Quadratic twists by: -4 8 -3 5 |