Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800cx |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
4120657920000000 = 220 · 37 · 57 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45075,2007250] |
[a1,a2,a3,a4,a6] |
Generators |
[335:4950:1] |
Generators of the group modulo torsion |
j |
217081801/88320 |
j-invariant |
L |
7.3488306736836 |
L(r)(E,1)/r! |
Ω |
0.39798671153321 |
Real period |
R |
2.3081268987144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998887 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10350p1 27600cw1 16560bp1 |
Quadratic twists by: -4 -3 5 |