Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
50430m |
Isogeny class |
Conductor |
50430 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
34722951168000000 = 218 · 3 · 56 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -3 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-81564,90586] |
[a1,a2,a3,a4,a6] |
Generators |
[-6549:67261:27] |
Generators of the group modulo torsion |
j |
21236169302809/12288000000 |
j-invariant |
L |
3.2633270709796 |
L(r)(E,1)/r! |
Ω |
0.31075890963402 |
Real period |
R |
2.6252884227947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50430g2 |
Quadratic twists by: 41 |