Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600by |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-99134668800 = -1 · 216 · 36 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 1 4 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,832,-12288] |
[a1,a2,a3,a4,a6] |
Generators |
[26:162:1] |
Generators of the group modulo torsion |
j |
621257495/968112 |
j-invariant |
L |
6.7536766208162 |
L(r)(E,1)/r! |
Ω |
0.56239563285625 |
Real period |
R |
1.501095543735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12450x1 99600dg1 |
Quadratic twists by: -4 5 |