Atkin-Lehner |
2+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27664f |
Isogeny class |
Conductor |
27664 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-86754304 = -1 · 210 · 73 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ -2 3 7- 5 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2744,-56252] |
[a1,a2,a3,a4,a6] |
j |
-2232206341348/84721 |
j-invariant |
L |
1.9788396569352 |
L(r)(E,1)/r! |
Ω |
0.32980660948923 |
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 |
13832c1 110656bt1 |
Quadratic twists by: -4 8 |