Atkin-Lehner |
2+ 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27950f |
Isogeny class |
Conductor |
27950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-6987500000 = -1 · 25 · 58 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 -1 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,474,-552] |
[a1,a2,a3,a4,a6] |
j |
756058031/447200 |
j-invariant |
L |
1.5557088684356 |
L(r)(E,1)/r! |
Ω |
0.77785443421792 |
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 |
5590d1 |
Quadratic twists by: 5 |