Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840bs |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
13560547737600 = 215 · 39 · 52 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-840001,296044799] |
[a1,a2,a3,a4,a6] |
Generators |
[527:72:1] |
Generators of the group modulo torsion |
j |
2000385525615120008/413835075 |
j-invariant |
L |
6.3046848128888 |
L(r)(E,1)/r! |
Ω |
0.5596712635059 |
Real period |
R |
0.31291607254284 |
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 |
27840l2 13920e2 83520cf2 |
Quadratic twists by: -4 8 -3 |