Atkin-Lehner |
3+ 7+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
32571a |
Isogeny class |
Conductor |
32571 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
-579340377 = -1 · 33 · 73 · 113 · 47 |
Discriminant |
Eigenvalues |
1 3+ 0 7+ 11+ -6 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,48,-1163] |
[a1,a2,a3,a4,a6] |
Generators |
[44:269:1] |
Generators of the group modulo torsion |
j |
447697125/21457051 |
j-invariant |
L |
5.2824788386647 |
L(r)(E,1)/r! |
Ω |
0.78290733470088 |
Real period |
R |
3.373629677823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32571b1 |
Quadratic twists by: -3 |