Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1560k |
Isogeny class |
Conductor |
1560 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
399360 = 211 · 3 · 5 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8320,294892] |
[a1,a2,a3,a4,a6] |
j |
31103978031362/195 |
j-invariant |
L |
2.0522300970166 |
L(r)(E,1)/r! |
Ω |
2.0522300970166 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3120k3 12480x4 4680g3 7800g4 |
Quadratic twists by: -4 8 -3 5 |