Atkin-Lehner |
2- 3+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
27888bc |
Isogeny class |
Conductor |
27888 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
1.3290191827495E+24 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47748944,-114228680832] |
[a1,a2,a3,a4,a6] |
j |
2939375616571000533091537/324467573913459623367 |
j-invariant |
L |
1.7353274421872 |
L(r)(E,1)/r! |
Ω |
0.057844248072892 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1743b2 111552dk2 83664ca2 |
Quadratic twists by: -4 8 -3 |