Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810bi |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2935296 |
Modular degree for the optimal curve |
Δ |
-1.8433899082514E+19 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 4 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2443067,-1485239699] |
[a1,a2,a3,a4,a6] |
Generators |
[21421744950:4814178998339:421875] |
Generators of the group modulo torsion |
j |
-1182740881/13520 |
j-invariant |
L |
3.9170717830541 |
L(r)(E,1)/r! |
Ω |
0.060337867432908 |
Real period |
R |
16.229740748667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82810b1 6370p1 |
Quadratic twists by: -7 13 |