Atkin-Lehner |
2- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
27508a |
Isogeny class |
Conductor |
27508 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-9.6765995149619E+19 |
Discriminant |
Eigenvalues |
2- 0 2 -2 -2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1105081,-155129250] |
[a1,a2,a3,a4,a6] |
Generators |
[46403102163:1670650531950:273359449] |
Generators of the group modulo torsion |
j |
3938211778608/2553381961 |
j-invariant |
L |
5.1697908738005 |
L(r)(E,1)/r! |
Ω |
0.10844303092824 |
Real period |
R |
15.890957766945 |
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 |
110032e2 1196a2 |
Quadratic twists by: -4 -23 |