Atkin-Lehner |
2+ 3+ 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950a |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3141600 |
Modular degree for the optimal curve |
Δ |
5.807591622E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2612200,1582024000] |
[a1,a2,a3,a4,a6] |
Generators |
[-2051172591:1129444601579:26730899] |
Generators of the group modulo torsion |
j |
201856716207127825/5946973820928 |
j-invariant |
L |
3.7007145974979 |
L(r)(E,1)/r! |
Ω |
0.19710829901942 |
Real period |
R |
18.775031872377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82950cx1 |
Quadratic twists by: 5 |