Atkin-Lehner |
2- 3- 7+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
28014u |
Isogeny class |
Conductor |
28014 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
216708738315048 = 23 · 34 · 72 · 234 · 293 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1039903,-408252559] |
[a1,a2,a3,a4,a6] |
Generators |
[2672:124727:1] |
Generators of the group modulo torsion |
j |
124366161863676314688625/216708738315048 |
j-invariant |
L |
10.329269352243 |
L(r)(E,1)/r! |
Ω |
0.14950351038365 |
Real period |
R |
0.9595900054023 |
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 |
84042g2 |
Quadratic twists by: -3 |