Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
41400d |
Isogeny class |
Conductor |
41400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-7141500000000 = -1 · 28 · 33 · 59 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,825,128250] |
[a1,a2,a3,a4,a6] |
j |
574992/66125 |
j-invariant |
L |
2.2898776740209 |
L(r)(E,1)/r! |
Ω |
0.57246941851934 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82800d1 41400bd1 8280q1 |
Quadratic twists by: -4 -3 5 |