Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810by |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-436663061356926950 = -1 · 2 · 52 · 77 · 139 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,53654,-31408707] |
[a1,a2,a3,a4,a6] |
Generators |
[2215422:37561643:5832] |
Generators of the group modulo torsion |
j |
30080231/768950 |
j-invariant |
L |
7.9324887279551 |
L(r)(E,1)/r! |
Ω |
0.14398321944114 |
Real period |
R |
6.8866434236502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11830w1 6370g1 |
Quadratic twists by: -7 13 |