Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360fa |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11006029332480 = 219 · 3 · 5 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-501985,-136726655] |
[a1,a2,a3,a4,a6] |
Generators |
[887:10728:1] |
Generators of the group modulo torsion |
j |
53365044437418169/41984670 |
j-invariant |
L |
4.6444887487629 |
L(r)(E,1)/r! |
Ω |
0.17936050501756 |
Real period |
R |
6.473678175411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002823 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360dn4 21840bu4 |
Quadratic twists by: -4 8 |