Atkin-Lehner |
2+ 3+ 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950b |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
356695617600000000 = 212 · 36 · 58 · 72 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-507250,-136263500] |
[a1,a2,a3,a4,a6] |
Generators |
[-3522:12979:8] |
Generators of the group modulo torsion |
j |
923785606023708961/22828519526400 |
j-invariant |
L |
3.6315152125168 |
L(r)(E,1)/r! |
Ω |
0.17916294019509 |
Real period |
R |
5.0673359218362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004592 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16590bb2 |
Quadratic twists by: 5 |