Atkin-Lehner |
2- 3+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
115632k |
Isogeny class |
Conductor |
115632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
568320 |
Modular degree for the optimal curve |
Δ |
-13087401955474176 = -1 · 28 · 33 · 1110 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 11+ -6 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3648,-5503428] |
[a1,a2,a3,a4,a6] |
Generators |
[306:4926:1] [14214:322102:27] |
Generators of the group modulo torsion |
j |
776755740672/1893431995873 |
j-invariant |
L |
12.515358985674 |
L(r)(E,1)/r! |
Ω |
0.18496825139307 |
Real period |
R |
8.4577751142717 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999977407 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28908c1 115632p1 |
Quadratic twists by: -4 -3 |