Atkin-Lehner |
2- 3+ 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950cc |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64000 |
Modular degree for the optimal curve |
Δ |
1881306000 = 24 · 35 · 53 · 72 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1953,-33969] |
[a1,a2,a3,a4,a6] |
Generators |
[65:312:1] |
Generators of the group modulo torsion |
j |
6590742243749/15050448 |
j-invariant |
L |
9.1518227777699 |
L(r)(E,1)/r! |
Ω |
0.71826123262168 |
Real period |
R |
3.1854088609731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980591 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82950bh1 |
Quadratic twists by: 5 |