Atkin-Lehner |
2+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16192j |
Isogeny class |
Conductor |
16192 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
548352 |
Modular degree for the optimal curve |
Δ |
939953871650816 = 221 · 117 · 23 |
Discriminant |
Eigenvalues |
2+ 0 3 3 11- -5 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18595916,30865582448] |
[a1,a2,a3,a4,a6] |
Generators |
[66234:85184:27] |
Generators of the group modulo torsion |
j |
2712917065234165678953/3585639464 |
j-invariant |
L |
6.4650787371546 |
L(r)(E,1)/r! |
Ω |
0.31648716851378 |
Real period |
R |
0.72955775827619 |
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 |
16192p1 506b1 |
Quadratic twists by: -4 8 |