Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360hh |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-3.5211171628487E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 13- 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14274345,20755057143] |
[a1,a2,a3,a4,a6] |
j |
-78529414947341027870656/8596477448361075 |
j-invariant |
L |
5.547628415795 |
L(r)(E,1)/r! |
Ω |
0.19812958707298 |
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 |
87360fh2 43680bg1 |
Quadratic twists by: -4 8 |