Atkin-Lehner |
2- 3- 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950cx |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
1155 |
Product of Tamagawa factors cp |
deg |
628320 |
Modular degree for the optimal curve |
Δ |
3716858638080000 = 211 · 37 · 54 · 75 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-104488,12656192] |
[a1,a2,a3,a4,a6] |
Generators |
[-208:5144:1] |
Generators of the group modulo torsion |
j |
201856716207127825/5946973820928 |
j-invariant |
L |
13.890590473749 |
L(r)(E,1)/r! |
Ω |
0.44074755553679 |
Real period |
R |
0.027286561451671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82950a1 |
Quadratic twists by: 5 |