Atkin-Lehner |
2- 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50430u |
Isogeny class |
Conductor |
50430 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2.775309306945E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 2 0 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2020637680,-34961596366945] |
[a1,a2,a3,a4,a6] |
Generators |
[3601140:345768001:64] |
Generators of the group modulo torsion |
j |
-192081665892474305747281/5842628216430 |
j-invariant |
L |
8.5565294213223 |
L(r)(E,1)/r! |
Ω |
0.011258938487616 |
Real period |
R |
3.87743146494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
48.999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1230k2 |
Quadratic twists by: 41 |