Atkin-Lehner |
2+ 3+ 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950b |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
36807826545000000 = 26 · 33 · 57 · 7 · 794 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8067250,-8822703500] |
[a1,a2,a3,a4,a6] |
Generators |
[399060:27204695:64] |
Generators of the group modulo torsion |
j |
3716039462860248118561/2355700898880 |
j-invariant |
L |
3.6315152125168 |
L(r)(E,1)/r! |
Ω |
0.089581470097543 |
Real period |
R |
10.134671843672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004592 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590bb3 |
Quadratic twists by: 5 |