Atkin-Lehner |
2+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42050k |
Isogeny class |
Conductor |
42050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
38107812500 = 22 · 58 · 293 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 2 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15542,749616] |
[a1,a2,a3,a4,a6] |
Generators |
[74:-12:1] [80:76:1] |
Generators of the group modulo torsion |
j |
1089547389/100 |
j-invariant |
L |
5.9678061187284 |
L(r)(E,1)/r! |
Ω |
1.1027082937367 |
Real period |
R |
1.3529883997029 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8410m2 42050ba2 |
Quadratic twists by: 5 29 |