Atkin-Lehner |
2- 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
82646c |
Isogeny class |
Conductor |
82646 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1093680 |
Modular degree for the optimal curve |
Δ |
-600871970569633792 = -1 · 214 · 318 · 43 |
Discriminant |
Eigenvalues |
2- 2 0 0 3 2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,40342,37181047] |
[a1,a2,a3,a4,a6] |
Generators |
[-235:3963:1] |
Generators of the group modulo torsion |
j |
8513375/704512 |
j-invariant |
L |
15.826495921517 |
L(r)(E,1)/r! |
Ω |
0.22161943732839 |
Real period |
R |
5.1009243962086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986879 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82646f1 |
Quadratic twists by: -31 |