Atkin-Lehner |
2+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810v |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
7248528 |
Modular degree for the optimal curve |
Δ |
-4.2150011228416E+22 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 1 13+ -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,68836,9877706320] |
[a1,a2,a3,a4,a6] |
j |
219083319/256000000000 |
j-invariant |
L |
2.4482014456571 |
L(r)(E,1)/r! |
Ω |
0.090674125485597 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82810c1 82810bp1 |
Quadratic twists by: -7 13 |