Atkin-Lehner |
2- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
57232m |
Isogeny class |
Conductor |
57232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-29302784 = -1 · 213 · 72 · 73 |
Discriminant |
Eigenvalues |
2- -3 -1 7- 0 -5 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,77,-14] |
[a1,a2,a3,a4,a6] |
Generators |
[1:8:1] |
Generators of the group modulo torsion |
j |
251559/146 |
j-invariant |
L |
3.273509007568 |
L(r)(E,1)/r! |
Ω |
1.24266743255 |
Real period |
R |
0.65856497919384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000364 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7154h1 57232e1 |
Quadratic twists by: -4 -7 |