Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800a |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
36216720000000 = 210 · 39 · 57 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27675,1748250] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:1350:1] |
Generators of the group modulo torsion |
j |
7443468/115 |
j-invariant |
L |
6.5079762781509 |
L(r)(E,1)/r! |
Ω |
0.65253983917893 |
Real period |
R |
1.2466626342795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41400c1 82800e1 16560f1 |
Quadratic twists by: -4 -3 5 |