Atkin-Lehner |
2+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
80800c |
Isogeny class |
Conductor |
80800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-20200000000 = -1 · 29 · 58 · 101 |
Discriminant |
Eigenvalues |
2+ -2 5+ -1 -2 -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,592,-3812] |
[a1,a2,a3,a4,a6] |
Generators |
[23:150:1] |
Generators of the group modulo torsion |
j |
2863288/2525 |
j-invariant |
L |
2.7754477687384 |
L(r)(E,1)/r! |
Ω |
0.66848475117556 |
Real period |
R |
2.0759245178886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80800g1 16160b1 |
Quadratic twists by: -4 5 |