Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
8280i |
Isogeny class |
Conductor |
8280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5.5765201345571E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3484077,-2577412978] |
[a1,a2,a3,a4,a6] |
Generators |
[235888040:-15720314551:64000] |
Generators of the group modulo torsion |
j |
3132776881711582558/3735130619961225 |
j-invariant |
L |
4.1541478731921 |
L(r)(E,1)/r! |
Ω |
0.072668477494532 |
Real period |
R |
14.291437004114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16560k6 66240cx5 2760f6 41400bl5 |
Quadratic twists by: -4 8 -3 5 |