Atkin-Lehner |
2- 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600co |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-42018750000 = -1 · 24 · 34 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 -3 -4 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9333,-344088] |
[a1,a2,a3,a4,a6] |
j |
-14386462720/6723 |
j-invariant |
L |
0.48571155708148 |
L(r)(E,1)/r! |
Ω |
0.24285563860094 |
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 |
24900q1 99600cz1 |
Quadratic twists by: -4 5 |