Atkin-Lehner |
2- 3- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
82950cr |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
41658464247750000 = 24 · 316 · 56 · 72 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -6 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-144613,18739217] |
[a1,a2,a3,a4,a6] |
Generators |
[392:-4921:1] |
Generators of the group modulo torsion |
j |
21405524842912393/2666141711856 |
j-invariant |
L |
12.134952522769 |
L(r)(E,1)/r! |
Ω |
0.34921558479074 |
Real period |
R |
0.27147790849268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001276 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3318a2 |
Quadratic twists by: 5 |