Atkin-Lehner |
2+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
55696b |
Isogeny class |
Conductor |
55696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-3286064 = -1 · 24 · 593 |
Discriminant |
Eigenvalues |
2+ -1 3 1 -2 -2 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39,142] |
[a1,a2,a3,a4,a6] |
Generators |
[42:59:8] |
Generators of the group modulo torsion |
j |
-2048 |
j-invariant |
L |
5.9555710342043 |
L(r)(E,1)/r! |
Ω |
2.3452214060243 |
Real period |
R |
1.2697246875858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27848f1 55696a1 |
Quadratic twists by: -4 -59 |