Atkin-Lehner |
3- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
7353g |
Isogeny class |
Conductor |
7353 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-11316267 = -1 · 36 · 192 · 43 |
Discriminant |
Eigenvalues |
0 3- 2 -4 5 -3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,6,-162] |
[a1,a2,a3,a4,a6] |
Generators |
[6:9:1] |
Generators of the group modulo torsion |
j |
32768/15523 |
j-invariant |
L |
3.5205004193048 |
L(r)(E,1)/r! |
Ω |
1.0619123182679 |
Real period |
R |
0.82881146558483 |
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 |
117648by1 817a1 |
Quadratic twists by: -4 -3 |