Atkin-Lehner |
5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
55955c |
Isogeny class |
Conductor |
55955 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
28728 |
Modular degree for the optimal curve |
Δ |
-7292111555 = -1 · 5 · 196 · 31 |
Discriminant |
Eigenvalues |
0 1 5+ 0 -4 6 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-481,-5940] |
[a1,a2,a3,a4,a6] |
Generators |
[59442:14492514:1] |
Generators of the group modulo torsion |
j |
-262144/155 |
j-invariant |
L |
5.454478150066 |
L(r)(E,1)/r! |
Ω |
0.49617789554032 |
Real period |
R |
10.992989004788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999497 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
155c1 |
Quadratic twists by: -19 |