Atkin-Lehner |
2- 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
19392bh |
Isogeny class |
Conductor |
19392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
523584 = 26 · 34 · 101 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -6 -1 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25,-43] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:3:1] |
Generators of the group modulo torsion |
j |
28094464/8181 |
j-invariant |
L |
6.6995761120646 |
L(r)(E,1)/r! |
Ω |
2.1754733217697 |
Real period |
R |
0.76989867504036 |
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 |
19392b1 4848m1 58176cj1 |
Quadratic twists by: -4 8 -3 |