Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520dx |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1664312832000000 = -1 · 215 · 36 · 56 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8427,-1985254] |
[a1,a2,a3,a4,a6] |
Generators |
[197:2000:1] |
Generators of the group modulo torsion |
j |
-22164361129/557375000 |
j-invariant |
L |
6.5860932618325 |
L(r)(E,1)/r! |
Ω |
0.20507070548904 |
Real period |
R |
1.3381752986784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8190bx2 7280m2 |
Quadratic twists by: -4 -3 |