Atkin-Lehner |
2+ 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13536h |
Isogeny class |
Conductor |
13536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
421023744 = 212 · 37 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 1 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15672,-755152] |
[a1,a2,a3,a4,a6] |
j |
142563879424/141 |
j-invariant |
L |
3.4135672380161 |
L(r)(E,1)/r! |
Ω |
0.42669590475201 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13536n1 27072cb1 4512j1 |
Quadratic twists by: -4 8 -3 |