Atkin-Lehner |
2+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53824d |
Isogeny class |
Conductor |
53824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.2793161728085E+22 |
Discriminant |
Eigenvalues |
2+ -1 -1 -2 -3 1 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24491041,-46958951263] |
[a1,a2,a3,a4,a6] |
Generators |
[1639508913:68159255408:250047] |
Generators of the group modulo torsion |
j |
-10418796526321/82044596 |
j-invariant |
L |
2.4873347669801 |
L(r)(E,1)/r! |
Ω |
0.033916698114653 |
Real period |
R |
9.1670729508665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53824u2 1682a2 1856a2 |
Quadratic twists by: -4 8 29 |