Atkin-Lehner |
2+ 3- 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950bd |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
218400 |
Modular degree for the optimal curve |
Δ |
3111921093750 = 2 · 3 · 58 · 75 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 6 3 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5951,-155452] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:144:1] |
Generators of the group modulo torsion |
j |
59652495625/7966518 |
j-invariant |
L |
6.731638365894 |
L(r)(E,1)/r! |
Ω |
0.54837685678301 |
Real period |
R |
4.0918565910006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82950bx1 |
Quadratic twists by: 5 |