Atkin-Lehner |
2+ 5- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
55480f |
Isogeny class |
Conductor |
55480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
51456 |
Modular degree for the optimal curve |
Δ |
-25312750000 = -1 · 24 · 56 · 19 · 732 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3035,-63808] |
[a1,a2,a3,a4,a6] |
Generators |
[602:2865:8] |
Generators of the group modulo torsion |
j |
-193296016132096/1582046875 |
j-invariant |
L |
9.0952157117896 |
L(r)(E,1)/r! |
Ω |
0.32144434251877 |
Real period |
R |
4.7158063924853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110960e1 |
Quadratic twists by: -4 |