Atkin-Lehner |
2- 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
13872bb |
Isogeny class |
Conductor |
13872 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
925344 |
Modular degree for the optimal curve |
Δ |
-2.8794700947512E+20 |
Discriminant |
Eigenvalues |
2- 3+ -3 4 -3 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7416992,7820031744] |
[a1,a2,a3,a4,a6] |
Generators |
[4528:258944:1] |
Generators of the group modulo torsion |
j |
-1579268174113/10077696 |
j-invariant |
L |
3.4289076817459 |
L(r)(E,1)/r! |
Ω |
0.17417182574112 |
Real period |
R |
1.6405770887243 |
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 |
1734l1 55488ei1 41616cw1 13872bl1 |
Quadratic twists by: -4 8 -3 17 |