Atkin-Lehner |
2- 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408cx |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-20633812992 = -1 · 216 · 34 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1217,17343] |
[a1,a2,a3,a4,a6] |
Generators |
[7:96:1] |
Generators of the group modulo torsion |
j |
-3044193988/314847 |
j-invariant |
L |
8.3453937220995 |
L(r)(E,1)/r! |
Ω |
1.1828439596389 |
Real period |
R |
0.88192039764349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000263 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408o1 14352e1 |
Quadratic twists by: -4 8 |