Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5472l |
Isogeny class |
Conductor |
5472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-56733696 = -1 · 212 · 36 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 -3 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72,-432] |
[a1,a2,a3,a4,a6] |
Generators |
[24:108:1] |
Generators of the group modulo torsion |
j |
-13824/19 |
j-invariant |
L |
3.9000413828701 |
L(r)(E,1)/r! |
Ω |
0.78018057250391 |
Real period |
R |
1.2497239486345 |
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 |
5472s1 10944q1 608d1 103968by1 |
Quadratic twists by: -4 8 -3 -19 |