Atkin-Lehner |
3- 7- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
82173k |
Isogeny class |
Conductor |
82173 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
2564865849 = 3 · 76 · 132 · 43 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -2 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-344,279] |
[a1,a2,a3,a4,a6] |
j |
38272753/21801 |
j-invariant |
L |
1.2392328113823 |
L(r)(E,1)/r! |
Ω |
1.2392327866552 |
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 |
1677a1 |
Quadratic twists by: -7 |