Atkin-Lehner |
2+ 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
82600b |
Isogeny class |
Conductor |
82600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16704 |
Modular degree for the optimal curve |
Δ |
-9746800 = -1 · 24 · 52 · 7 · 592 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 3 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68,-287] |
[a1,a2,a3,a4,a6] |
Generators |
[32:177:1] |
Generators of the group modulo torsion |
j |
-88218880/24367 |
j-invariant |
L |
4.0383444747066 |
L(r)(E,1)/r! |
Ω |
0.81850020480879 |
Real period |
R |
1.2334586030587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994552 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82600r1 |
Quadratic twists by: 5 |