Atkin-Lehner |
2- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
27056b |
Isogeny class |
Conductor |
27056 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6560 |
Modular degree for the optimal curve |
Δ |
-616443904 = -1 · 212 · 19 · 892 |
Discriminant |
Eigenvalues |
2- 0 -1 -1 5 -2 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,112,-1104] |
[a1,a2,a3,a4,a6] |
Generators |
[161:2047:1] |
Generators of the group modulo torsion |
j |
37933056/150499 |
j-invariant |
L |
4.7420268529146 |
L(r)(E,1)/r! |
Ω |
0.82435466840269 |
Real period |
R |
2.876205494234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1691a1 108224c1 |
Quadratic twists by: -4 8 |