Atkin-Lehner |
2- 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
46512bp |
Isogeny class |
Conductor |
46512 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
165150720 |
Modular degree for the optimal curve |
Δ |
4.9058631657331E+31 |
Discriminant |
Eigenvalues |
2- 3- -2 2 6 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21820479771,-1193992166869814] |
[a1,a2,a3,a4,a6] |
Generators |
[-959807904616651727678881230185:-15941008788995895727268593926144:9785855475173168084612771] |
Generators of the group modulo torsion |
j |
384794735475351420006613445593/16429636480748252244738048 |
j-invariant |
L |
5.6430951422905 |
L(r)(E,1)/r! |
Ω |
0.01245453229247 |
Real period |
R |
37.757975769829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5814r1 15504z1 |
Quadratic twists by: -4 -3 |