Atkin-Lehner |
2+ 3+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232g |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-600272064 = -1 · 26 · 32 · 7 · 533 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ -1 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-281,2259] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:63:1] [-2:53:1] |
Generators of the group modulo torsion |
j |
-38477541376/9379251 |
j-invariant |
L |
7.9759591593286 |
L(r)(E,1)/r! |
Ω |
1.5528927297846 |
Real period |
R |
0.85603242327077 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71232di1 1113e1 |
Quadratic twists by: -4 8 |