Atkin-Lehner |
2- 5+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
57850m |
Isogeny class |
Conductor |
57850 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
2583360 |
Modular degree for the optimal curve |
Δ |
-5.41410541568E+20 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 4 13+ -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-364380,-1122598753] |
[a1,a2,a3,a4,a6] |
j |
-342425550990323529/34650274660352000 |
j-invariant |
L |
3.3467677201628 |
L(r)(E,1)/r! |
Ω |
0.072755820041344 |
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 |
11570b1 |
Quadratic twists by: 5 |