Atkin-Lehner |
2+ 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
128160p |
Isogeny class |
Conductor |
128160 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
547200 |
Modular degree for the optimal curve |
Δ |
-822275841600000 = -1 · 29 · 36 · 55 · 893 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 5 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23253,-201886] |
[a1,a2,a3,a4,a6] |
Generators |
[50:1042:1] |
Generators of the group modulo torsion |
j |
3725316686008/2203028125 |
j-invariant |
L |
7.6101019956461 |
L(r)(E,1)/r! |
Ω |
0.29402210432726 |
Real period |
R |
5.1765509273766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015143 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128160bh1 14240m1 |
Quadratic twists by: -4 -3 |