Atkin-Lehner |
2- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64288l |
Isogeny class |
Conductor |
64288 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
27456 |
Modular degree for the optimal curve |
Δ |
-50401792 = -1 · 29 · 74 · 41 |
Discriminant |
Eigenvalues |
2- 2 2 7+ 0 3 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1192,16248] |
[a1,a2,a3,a4,a6] |
Generators |
[21:6:1] |
Generators of the group modulo torsion |
j |
-152494664/41 |
j-invariant |
L |
11.232573975909 |
L(r)(E,1)/r! |
Ω |
1.9562807391014 |
Real period |
R |
1.9139335425938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64288b1 128576l1 64288o1 |
Quadratic twists by: -4 8 -7 |