Atkin-Lehner |
2- 3+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
438f |
Isogeny class |
Conductor |
438 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64 |
Modular degree for the optimal curve |
Δ |
168192 = 28 · 32 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19,17] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:6:1] |
Generators of the group modulo torsion |
j |
761048497/168192 |
j-invariant |
L |
2.0220564890908 |
L(r)(E,1)/r! |
Ω |
3.039111860564 |
Real period |
R |
0.6653445420451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3504x1 14016bc1 1314c1 10950j1 |
Quadratic twists by: -4 8 -3 5 |