Atkin-Lehner |
5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
82075k |
Isogeny class |
Conductor |
82075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
151200 |
Modular degree for the optimal curve |
Δ |
-3079094921875 = -1 · 58 · 76 · 67 |
Discriminant |
Eigenvalues |
0 2 5- 7- 0 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-16333,-802432] |
[a1,a2,a3,a4,a6] |
j |
-10485760/67 |
j-invariant |
L |
3.7993344460831 |
L(r)(E,1)/r! |
Ω |
0.21107413758838 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82075b1 1675d1 |
Quadratic twists by: 5 -7 |