Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1560j |
Isogeny class |
Conductor |
1560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
35925411600000000 = 210 · 312 · 58 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-155480,21815772] |
[a1,a2,a3,a4,a6] |
j |
405929061432816484/35083409765625 |
j-invariant |
L |
1.4294583840365 |
L(r)(E,1)/r! |
Ω |
0.35736459600913 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3120j4 12480t3 4680f4 7800e3 |
Quadratic twists by: -4 8 -3 5 |