Atkin-Lehner |
5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
82075l |
Isogeny class |
Conductor |
82075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
203520 |
Modular degree for the optimal curve |
Δ |
107768322265625 = 59 · 77 · 67 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 2 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-57805,-5311428] |
[a1,a2,a3,a4,a6] |
j |
92959677/469 |
j-invariant |
L |
0.61598573815507 |
L(r)(E,1)/r! |
Ω |
0.30799288098892 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82075j1 11725e1 |
Quadratic twists by: 5 -7 |