Atkin-Lehner |
2- 5+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
82960d |
Isogeny class |
Conductor |
82960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
414800 = 24 · 52 · 17 · 61 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8641,-312066] |
[a1,a2,a3,a4,a6] |
Generators |
[30242836:393349861:140608] |
Generators of the group modulo torsion |
j |
4460114454790144/25925 |
j-invariant |
L |
3.341786430487 |
L(r)(E,1)/r! |
Ω |
0.49517004600193 |
Real period |
R |
13.49753063563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928431 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20740b1 |
Quadratic twists by: -4 |