Atkin-Lehner |
3- 5+ 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
113475k |
Isogeny class |
Conductor |
113475 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
443276115890625 = 36 · 56 · 173 · 892 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1864663,-980205808] |
[a1,a2,a3,a4,a6] |
Generators |
[70599:2925263:27] |
Generators of the group modulo torsion |
j |
45888594979016241577/28369671417 |
j-invariant |
L |
6.7597522238695 |
L(r)(E,1)/r! |
Ω |
0.12919612299307 |
Real period |
R |
8.7202722727697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013839 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4539c1 |
Quadratic twists by: 5 |