Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600i |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
39917124000000000 = 211 · 310 · 59 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -4 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-107008,9476512] |
[a1,a2,a3,a4,a6] |
j |
4234737878642/1247410125 |
j-invariant |
L |
1.3493650438404 |
L(r)(E,1)/r! |
Ω |
0.33734126096011 |
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 |
7800v2 62400gj2 46800bf2 3120i2 |
Quadratic twists by: -4 8 -3 5 |