Atkin-Lehner |
5- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55055o |
Isogeny class |
Conductor |
55055 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3028025 = 52 · 7 · 113 · 13 |
Discriminant |
Eigenvalues |
1 -2 5- 7- 11+ 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5338,-150537] |
[a1,a2,a3,a4,a6] |
Generators |
[18618:29003:216] |
Generators of the group modulo torsion |
j |
12634684631171/2275 |
j-invariant |
L |
4.7136994224876 |
L(r)(E,1)/r! |
Ω |
0.5585533534486 |
Real period |
R |
8.4391211572166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999263 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55055j2 |
Quadratic twists by: -11 |