Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960bv |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-12696000000000000 = -1 · 215 · 3 · 512 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -3 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39920,-6216768] |
[a1,a2,a3,a4,a6] |
Generators |
[394:-6250:1] [1144:38000:1] |
Generators of the group modulo torsion |
j |
-3247061909089/5859375000 |
j-invariant |
L |
10.451349637666 |
L(r)(E,1)/r! |
Ω |
0.15928457300106 |
Real period |
R |
1.3669650907817 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999641 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870bl2 126960bb2 |
Quadratic twists by: -4 -23 |