Atkin-Lehner |
3- 5+ 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
113475l |
Isogeny class |
Conductor |
113475 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1611360 |
Modular degree for the optimal curve |
Δ |
-53719463935546875 = -1 · 33 · 510 · 172 · 893 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 2 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1206263,-510153108] |
[a1,a2,a3,a4,a6] |
Generators |
[6493:511930:1] |
Generators of the group modulo torsion |
j |
-19876948463268025/5500873107 |
j-invariant |
L |
4.8362722480757 |
L(r)(E,1)/r! |
Ω |
0.072028081173529 |
Real period |
R |
3.7302366784685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113475i1 |
Quadratic twists by: 5 |