Atkin-Lehner |
3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
27195u |
Isogeny class |
Conductor |
27195 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.1247660740625E+19 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-569920,37211075] |
[a1,a2,a3,a4,a6] |
Generators |
[1145:-30340:1] |
Generators of the group modulo torsion |
j |
174011204426291569/95603538836925 |
j-invariant |
L |
4.6638678116855 |
L(r)(E,1)/r! |
Ω |
0.19732041473105 |
Real period |
R |
0.73862539420375 |
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 |
81585s3 3885a3 |
Quadratic twists by: -3 -7 |