Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792dd |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-1635880059072 = -1 · 26 · 38 · 72 · 433 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -1 3 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2253,46503] |
[a1,a2,a3,a4,a6] |
Generators |
[102:-1161:1] |
Generators of the group modulo torsion |
j |
19753066976768/25560625923 |
j-invariant |
L |
9.2953707262255 |
L(r)(E,1)/r! |
Ω |
0.56677332895649 |
Real period |
R |
0.34167725773196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57792by1 28896k1 |
Quadratic twists by: -4 8 |