Atkin-Lehner |
3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27885a |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.204441917564E+29 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2363847788,-34858817495757] |
[a1,a2,a3,a4,a6] |
Generators |
[45754263634101134598160583432791957241359640291456095579768463106:-12951262644308125879756077414353187823133451789613002156071530909053:434085320675549704585345593226684127246312267686286302846619] |
Generators of the group modulo torsion |
j |
302637069626404192074729361/66388413495623699390625 |
j-invariant |
L |
4.2731726332899 |
L(r)(E,1)/r! |
Ω |
0.021990095338851 |
Real period |
R |
97.161303019461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
83655bf6 2145e5 |
Quadratic twists by: -3 13 |