Atkin-Lehner |
2+ 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600f |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-31366828800 = -1 · 28 · 310 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 1 0 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,772,1872] |
[a1,a2,a3,a4,a6] |
j |
7940227760/4901067 |
j-invariant |
L |
2.8952544130941 |
L(r)(E,1)/r! |
Ω |
0.72381360301238 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49800bd1 99600bh1 |
Quadratic twists by: -4 5 |