Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600dl |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
2150400 |
Modular degree for the optimal curve |
Δ |
-898736402202624000 = -1 · 232 · 35 · 53 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -6 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2266048,-1314508492] |
[a1,a2,a3,a4,a6] |
Generators |
[3428:176670:1] |
Generators of the group modulo torsion |
j |
-2513397956724215189/1755344535552 |
j-invariant |
L |
6.8285053787547 |
L(r)(E,1)/r! |
Ω |
0.061522514358039 |
Real period |
R |
5.5495987423183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018514 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12450s1 99600ch1 |
Quadratic twists by: -4 5 |