Atkin-Lehner |
5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
82075g |
Isogeny class |
Conductor |
82075 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1306368 |
Modular degree for the optimal curve |
Δ |
189638623470953125 = 56 · 79 · 673 |
Discriminant |
Eigenvalues |
-1 3 5+ 7- -2 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-148455,-6725078] |
[a1,a2,a3,a4,a6] |
Generators |
[-262323:176759:729] |
Generators of the group modulo torsion |
j |
573856191/300763 |
j-invariant |
L |
7.529315376086 |
L(r)(E,1)/r! |
Ω |
0.25779130937017 |
Real period |
R |
4.8678363109521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969267 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3283c1 82075h1 |
Quadratic twists by: 5 -7 |