Atkin-Lehner |
2- 3- 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82650cb |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
1523404800 = 212 · 33 · 52 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 3 0 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-713,-7143] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:19:1] |
Generators of the group modulo torsion |
j |
1603579005625/60936192 |
j-invariant |
L |
12.36857429421 |
L(r)(E,1)/r! |
Ω |
0.92605954525013 |
Real period |
R |
0.37100368968975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000358 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82650e1 |
Quadratic twists by: 5 |