Atkin-Lehner |
2+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
28480x |
Isogeny class |
Conductor |
28480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2595553280000 = 219 · 54 · 892 |
Discriminant |
Eigenvalues |
2+ -2 5- 4 0 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-426785,107173183] |
[a1,a2,a3,a4,a6] |
Generators |
[381:140:1] |
Generators of the group modulo torsion |
j |
32795348404864969/9901250 |
j-invariant |
L |
4.5782586704137 |
L(r)(E,1)/r! |
Ω |
0.65166670253028 |
Real period |
R |
1.7563651221696 |
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 |
28480bt2 890c2 |
Quadratic twists by: -4 8 |