Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810be |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
-8.3824854337323E+19 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1538072,855563584] |
[a1,a2,a3,a4,a6] |
Generators |
[14448:1723336:1] |
Generators of the group modulo torsion |
j |
-1701366814932001/354418688000 |
j-invariant |
L |
3.970419534446 |
L(r)(E,1)/r! |
Ω |
0.18380756471075 |
Real period |
R |
1.8000798551676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002235 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82810a1 6370n1 |
Quadratic twists by: -7 13 |