Atkin-Lehner |
3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16473a |
Isogeny class |
Conductor |
16473 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
1375841433 = 3 · 176 · 19 |
Discriminant |
Eigenvalues |
1 3+ 2 0 0 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-439,-3248] |
[a1,a2,a3,a4,a6] |
Generators |
[-2380560:1198904:274625] |
Generators of the group modulo torsion |
j |
389017/57 |
j-invariant |
L |
5.8325771401358 |
L(r)(E,1)/r! |
Ω |
1.0528978598312 |
Real period |
R |
11.079093922883 |
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 |
49419b1 57b2 |
Quadratic twists by: -3 17 |