Atkin-Lehner |
3- 7+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
54873j |
Isogeny class |
Conductor |
54873 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-3944313000712539 = -1 · 313 · 75 · 133 · 67 |
Discriminant |
Eigenvalues |
-2 3- 2 7+ 4 13+ -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-94449,-11573744] |
[a1,a2,a3,a4,a6] |
Generators |
[22852:30343:64] |
Generators of the group modulo torsion |
j |
-127816898787684352/5410580247891 |
j-invariant |
L |
3.2791308055096 |
L(r)(E,1)/r! |
Ω |
0.13582996794654 |
Real period |
R |
6.0353596024316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18291b1 |
Quadratic twists by: -3 |