Atkin-Lehner |
2- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
82280p |
Isogeny class |
Conductor |
82280 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-52082816290912000 = -1 · 28 · 53 · 117 · 174 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11- -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8833,10975426] |
[a1,a2,a3,a4,a6] |
Generators |
[-198:1210:1] |
Generators of the group modulo torsion |
j |
168055344/114841375 |
j-invariant |
L |
6.1440924385976 |
L(r)(E,1)/r! |
Ω |
0.2769880108956 |
Real period |
R |
1.8484832670235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982387 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7480b1 |
Quadratic twists by: -11 |