Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384cz |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-16695138189312 = -1 · 219 · 36 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3636,177552] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:352:1] [21:513:1] |
Generators of the group modulo torsion |
j |
27818127/87362 |
j-invariant |
L |
13.027258355641 |
L(r)(E,1)/r! |
Ω |
0.49038794458862 |
Real period |
R |
1.6603255776853 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999980168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120384bj2 30096bg2 13376s2 |
Quadratic twists by: -4 8 -3 |