Atkin-Lehner |
2- 3+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
15168l |
Isogeny class |
Conductor |
15168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-9161165242368 = -1 · 232 · 33 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -2 3 -5 1 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5151,29313] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:4096:27] |
Generators of the group modulo torsion |
j |
57646656647/34947072 |
j-invariant |
L |
3.5885943682561 |
L(r)(E,1)/r! |
Ω |
0.44868794667549 |
Real period |
R |
1.9994934089747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15168f1 3792f1 45504bv1 |
Quadratic twists by: -4 8 -3 |