Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800de |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-15452467200000000 = -1 · 218 · 38 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14325,5944250] |
[a1,a2,a3,a4,a6] |
Generators |
[70:2700:1] |
Generators of the group modulo torsion |
j |
6967871/331200 |
j-invariant |
L |
5.8620857562618 |
L(r)(E,1)/r! |
Ω |
0.29832723294285 |
Real period |
R |
2.4562314084282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998502 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10350bp1 27600bs1 16560ce1 |
Quadratic twists by: -4 -3 5 |