Atkin-Lehner |
3+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
7353a |
Isogeny class |
Conductor |
7353 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
249625533753 = 39 · 193 · 432 |
Discriminant |
Eigenvalues |
1 3+ 2 0 0 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3471,75824] |
[a1,a2,a3,a4,a6] |
Generators |
[-3500:21973:64] |
Generators of the group modulo torsion |
j |
234999338211/12682291 |
j-invariant |
L |
5.5057575318625 |
L(r)(E,1)/r! |
Ω |
0.97194392229136 |
Real period |
R |
5.6646864140913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117648r1 7353b1 |
Quadratic twists by: -4 -3 |