Atkin-Lehner |
2+ 3- 101- |
Signs for the Atkin-Lehner involutions |
Class |
19392s |
Isogeny class |
Conductor |
19392 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
4712256 = 26 · 36 · 101 |
Discriminant |
Eigenvalues |
2+ 3- -1 4 4 -1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-111,-477] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:3:1] |
Generators of the group modulo torsion |
j |
2384621056/73629 |
j-invariant |
L |
6.8128964271733 |
L(r)(E,1)/r! |
Ω |
1.4725295813873 |
Real period |
R |
0.77111030719837 |
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 |
19392h1 9696a1 58176h1 |
Quadratic twists by: -4 8 -3 |