Atkin-Lehner |
2+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32480c |
Isogeny class |
Conductor |
32480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-105495040000 = -1 · 212 · 54 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ -2 -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-705,16975] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-100:1] [-25:140:1] |
Generators of the group modulo torsion |
j |
-9474296896/25755625 |
j-invariant |
L |
6.2262950201684 |
L(r)(E,1)/r! |
Ω |
0.93438578895181 |
Real period |
R |
0.41646977443548 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32480j2 64960f1 |
Quadratic twists by: -4 8 |