Atkin-Lehner |
2- 5- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
82960i |
Isogeny class |
Conductor |
82960 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-2654720000000 = -1 · 215 · 57 · 17 · 61 |
Discriminant |
Eigenvalues |
2- -3 5- 1 -3 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5587,178834] |
[a1,a2,a3,a4,a6] |
Generators |
[73:400:1] |
Generators of the group modulo torsion |
j |
-4708686519081/648125000 |
j-invariant |
L |
3.8825597814984 |
L(r)(E,1)/r! |
Ω |
0.78369573733321 |
Real period |
R |
0.1769345456062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011586 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10370d1 |
Quadratic twists by: -4 |