Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4550d |
Isogeny class |
Conductor |
4550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
924218750 = 2 · 58 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 4 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1901,31698] |
[a1,a2,a3,a4,a6] |
Generators |
[32:46:1] |
Generators of the group modulo torsion |
j |
48587168449/59150 |
j-invariant |
L |
1.8520437601255 |
L(r)(E,1)/r! |
Ω |
1.567267040763 |
Real period |
R |
0.59085137119446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36400bw2 40950dt2 910i2 31850ba2 |
Quadratic twists by: -4 -3 5 -7 |