Atkin-Lehner |
3+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
7353b |
Isogeny class |
Conductor |
7353 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
342421857 = 33 · 193 · 432 |
Discriminant |
Eigenvalues |
-1 3+ -2 0 0 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-386,-2680] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:16:1] |
Generators of the group modulo torsion |
j |
234999338211/12682291 |
j-invariant |
L |
2.0813301219303 |
L(r)(E,1)/r! |
Ω |
1.0809300610121 |
Real period |
R |
1.9254993426509 |
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 |
117648u1 7353a1 |
Quadratic twists by: -4 -3 |