Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27450q |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-2067172984627200 = -1 · 213 · 36 · 52 · 614 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 3 0 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-169557,27004661] |
[a1,a2,a3,a4,a6] |
j |
-29580450758086905/113425129472 |
j-invariant |
L |
0.93398109657278 |
L(r)(E,1)/r! |
Ω |
0.46699054828667 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3050g1 27450cc1 |
Quadratic twists by: -3 5 |