Atkin-Lehner |
2+ 3- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
57528f |
Isogeny class |
Conductor |
57528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
28033164288 = 210 · 36 · 17 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -2 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1179,-13338] |
[a1,a2,a3,a4,a6] |
Generators |
[-483:1216:27] |
Generators of the group modulo torsion |
j |
242793828/37553 |
j-invariant |
L |
7.3019598812471 |
L(r)(E,1)/r! |
Ω |
0.82322151318324 |
Real period |
R |
4.4349909255061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999301 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115056k1 6392b1 |
Quadratic twists by: -4 -3 |