Atkin-Lehner |
2+ 7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
57134f |
Isogeny class |
Conductor |
57134 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-17558877952 = -1 · 28 · 76 · 11 · 53 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,334,5844] |
[a1,a2,a3,a4,a6] |
Generators |
[876:5602:27] |
Generators of the group modulo torsion |
j |
34965783/149248 |
j-invariant |
L |
4.1314648475675 |
L(r)(E,1)/r! |
Ω |
0.87928844986553 |
Real period |
R |
4.6986456472346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998623 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1166b1 |
Quadratic twists by: -7 |