Atkin-Lehner |
2+ 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
27472b |
Isogeny class |
Conductor |
27472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28416 |
Modular degree for the optimal curve |
Δ |
51320333312 = 210 · 173 · 1012 |
Discriminant |
Eigenvalues |
2+ -2 0 4 2 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1368,-16604] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:38:1] |
Generators of the group modulo torsion |
j |
276693830500/50117513 |
j-invariant |
L |
4.2461657333635 |
L(r)(E,1)/r! |
Ω |
0.79475000527908 |
Real period |
R |
2.6713845266804 |
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 |
13736d1 109888s1 |
Quadratic twists by: -4 8 |