Atkin-Lehner |
2- 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48024h |
Isogeny class |
Conductor |
48024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
34355985408 = 210 · 37 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -2 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16635,825766] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:828:1] [-18:1058:1] |
Generators of the group modulo torsion |
j |
681969014500/46023 |
j-invariant |
L |
8.9838829600956 |
L(r)(E,1)/r! |
Ω |
1.1047069816087 |
Real period |
R |
4.0661836621206 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96048l2 16008g2 |
Quadratic twists by: -4 -3 |