Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840cb |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
392 |
Product of Tamagawa factors cp |
Δ |
3.678534E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3114145,1902290975] |
[a1,a2,a3,a4,a6] |
Generators |
[485:22500:1] |
Generators of the group modulo torsion |
j |
101927273506578172232/11225994873046875 |
j-invariant |
L |
6.4401140197534 |
L(r)(E,1)/r! |
Ω |
0.16441658963657 |
Real period |
R |
0.39968867695416 |
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 |
27840u2 13920t2 83520bo2 |
Quadratic twists by: -4 8 -3 |