Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10350v |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
281621214720000 = 212 · 314 · 54 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 1 -3 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19467,-659259] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:309:1] |
Generators of the group modulo torsion |
j |
1790712239425/618098688 |
j-invariant |
L |
2.7562773869538 |
L(r)(E,1)/r! |
Ω |
0.41555941887925 |
Real period |
R |
1.6581728519037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82800fu1 3450bb1 10350bq1 |
Quadratic twists by: -4 -3 5 |