Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800cz |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1716940800 = 212 · 36 · 52 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -1 -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-315,810] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:54:1] |
Generators of the group modulo torsion |
j |
46305/23 |
j-invariant |
L |
7.1235411614159 |
L(r)(E,1)/r! |
Ω |
1.3232448417071 |
Real period |
R |
1.3458471429027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000439 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5175l1 9200y1 82800fq1 |
Quadratic twists by: -4 -3 5 |