Atkin-Lehner |
2- 53- |
Signs for the Atkin-Lehner involutions |
Class |
3392q |
Isogeny class |
Conductor |
3392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-222298112 = -1 · 222 · 53 |
Discriminant |
Eigenvalues |
2- -1 4 0 -4 -1 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-481,-3967] |
[a1,a2,a3,a4,a6] |
Generators |
[77:640:1] |
Generators of the group modulo torsion |
j |
-47045881/848 |
j-invariant |
L |
3.5029428148721 |
L(r)(E,1)/r! |
Ω |
0.5090889317033 |
Real period |
R |
1.7202018138324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3392e1 848a1 30528bp1 84800bn1 |
Quadratic twists by: -4 8 -3 5 |