Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810o |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-4986346328321612800 = -1 · 210 · 52 · 79 · 136 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 4 13+ 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-588123,-204400867] |
[a1,a2,a3,a4,a6] |
j |
-115501303/25600 |
j-invariant |
L |
3.0669201504 |
L(r)(E,1)/r! |
Ω |
0.085192227873708 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82810bl1 490j1 |
Quadratic twists by: -7 13 |