Atkin-Lehner |
2- 5- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
44650z |
Isogeny class |
Conductor |
44650 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
22080 |
Modular degree for the optimal curve |
Δ |
1289492000 = 25 · 53 · 193 · 47 |
Discriminant |
Eigenvalues |
2- -2 5- 0 3 1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-483,-3743] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:-13:1] |
Generators of the group modulo torsion |
j |
99703702853/10315936 |
j-invariant |
L |
6.5820007275302 |
L(r)(E,1)/r! |
Ω |
1.0251807984628 |
Real period |
R |
0.21401105500618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44650i1 |
Quadratic twists by: 5 |