Atkin-Lehner |
5+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55825k |
Isogeny class |
Conductor |
55825 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4847040 |
Modular degree for the optimal curve |
Δ |
-172087082685546875 = -1 · 510 · 73 · 116 · 29 |
Discriminant |
Eigenvalues |
-2 0 5+ 7- 11+ -2 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-84728125,300185360156] |
[a1,a2,a3,a4,a6] |
j |
-6888211222543603200000/17621717267 |
j-invariant |
L |
1.2683534098879 |
L(r)(E,1)/r! |
Ω |
0.21139223476325 |
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 |
55825p1 |
Quadratic twists by: 5 |