Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1560h |
Isogeny class |
Conductor |
1560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
26956800 = 210 · 34 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-561600,-162177552] |
[a1,a2,a3,a4,a6] |
j |
19129597231400697604/26325 |
j-invariant |
L |
2.7903758085666 |
L(r)(E,1)/r! |
Ω |
0.17439848803541 |
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 |
3120f3 12480f3 4680q3 7800n3 |
Quadratic twists by: -4 8 -3 5 |