Atkin-Lehner |
2+ 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
45450y |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-15531117187500 = -1 · 22 · 39 · 59 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1683,-188159] |
[a1,a2,a3,a4,a6] |
Generators |
[224:3263:1] |
Generators of the group modulo torsion |
j |
46268279/1363500 |
j-invariant |
L |
5.1742444908872 |
L(r)(E,1)/r! |
Ω |
0.33727723867773 |
Real period |
R |
0.4794131408757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150t1 9090v1 |
Quadratic twists by: -3 5 |