Atkin-Lehner |
3+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23829b |
Isogeny class |
Conductor |
23829 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
287885369187 = 33 · 136 · 472 |
Discriminant |
Eigenvalues |
1 3+ 0 -4 0 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24170,-1456203] |
[a1,a2,a3,a4,a6] |
Generators |
[1084:34779:1] |
Generators of the group modulo torsion |
j |
323535264625/59643 |
j-invariant |
L |
3.4486614662709 |
L(r)(E,1)/r! |
Ω |
0.3828977873587 |
Real period |
R |
4.5033708474269 |
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 |
71487o2 141b2 |
Quadratic twists by: -3 13 |