Atkin-Lehner |
2- 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15312x |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
Δ |
9.8320009765074E+23 |
Discriminant |
Eigenvalues |
2- 3- -4 4 11- 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72444080,-232509757356] |
[a1,a2,a3,a4,a6] |
j |
10265319586058552545673521/240039086340513078432 |
j-invariant |
L |
2.6947638768741 |
L(r)(E,1)/r! |
Ω |
0.051822382247579 |
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 |
1914j2 61248br2 45936bp2 |
Quadratic twists by: -4 8 -3 |