Atkin-Lehner |
2+ 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
57904d |
Isogeny class |
Conductor |
57904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-36881605376 = -1 · 28 · 72 · 113 · 472 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 11+ -6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13945,-638573] |
[a1,a2,a3,a4,a6] |
j |
-1171575943760896/144068771 |
j-invariant |
L |
0.87865648806911 |
L(r)(E,1)/r! |
Ω |
0.21966412258969 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28952d1 |
Quadratic twists by: -4 |