Atkin-Lehner |
2- 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83904bt |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2457580810700587008 = 221 · 3 · 198 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-362177,-36853953] |
[a1,a2,a3,a4,a6] |
Generators |
[-10986:177695:27] |
Generators of the group modulo torsion |
j |
20042301472793137/9374926798632 |
j-invariant |
L |
7.0993317041717 |
L(r)(E,1)/r! |
Ω |
0.20363036049365 |
Real period |
R |
8.7159543501039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982255 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83904b3 20976e3 |
Quadratic twists by: -4 8 |