Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27744q |
Isogeny class |
Conductor |
27744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
-3483637459975872 = -1 · 26 · 33 · 1710 |
Discriminant |
Eigenvalues |
2- 3+ 2 5 2 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-194882,33300132] |
[a1,a2,a3,a4,a6] |
j |
-6344128/27 |
j-invariant |
L |
3.5779835122442 |
L(r)(E,1)/r! |
Ω |
0.4472479390304 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27744y1 55488dw1 83232o1 27744bd1 |
Quadratic twists by: -4 8 -3 17 |