Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
13536p |
Isogeny class |
Conductor |
13536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
421023744 = 212 · 37 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 3 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1704,-27056] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:4:1] |
Generators of the group modulo torsion |
j |
183250432/141 |
j-invariant |
L |
3.2639850163199 |
L(r)(E,1)/r! |
Ω |
0.74310847885369 |
Real period |
R |
1.0980849731909 |
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 |
13536bb1 27072bf1 4512o1 |
Quadratic twists by: -4 8 -3 |