Atkin-Lehner |
2+ 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
129344c |
Isogeny class |
Conductor |
129344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-13751175282688 = -1 · 216 · 43 · 474 |
Discriminant |
Eigenvalues |
2+ 0 -2 4 -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,724,-178256] |
[a1,a2,a3,a4,a6] |
Generators |
[2927131791:-434818956943:132651] |
Generators of the group modulo torsion |
j |
640412028/209826283 |
j-invariant |
L |
4.6434430702353 |
L(r)(E,1)/r! |
Ω |
0.33127572410271 |
Real period |
R |
14.016852653026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000124828 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129344be3 16168c4 |
Quadratic twists by: -4 8 |