Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15912k |
Isogeny class |
Conductor |
15912 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
12551221133568 = 28 · 310 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3- 0 2 2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1194015,502183874] |
[a1,a2,a3,a4,a6] |
Generators |
[605:1118:1] |
Generators of the group modulo torsion |
j |
1008754689437602000/67254057 |
j-invariant |
L |
5.3371576974325 |
L(r)(E,1)/r! |
Ω |
0.53859571174483 |
Real period |
R |
2.4773487706309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31824b1 127296q1 5304b1 |
Quadratic twists by: -4 8 -3 |