Atkin-Lehner |
2- 3- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
83664bl |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
-3.1686027311454E+21 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -3 4 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14253,-2708270318] |
[a1,a2,a3,a4,a6] |
Generators |
[14606:1764504:1] |
Generators of the group modulo torsion |
j |
107239576751/1061158643564544 |
j-invariant |
L |
6.4608749455975 |
L(r)(E,1)/r! |
Ω |
0.065099274899218 |
Real period |
R |
6.2029060170646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10458p1 27888bf1 |
Quadratic twists by: -4 -3 |