Atkin-Lehner |
2+ 3- 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810bx |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-579150556726514850 = -1 · 2 · 37 · 52 · 78 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-50904,36893178] |
[a1,a2,a3,a4,a6] |
Generators |
[217:-6111:1] [-273:5649:1] |
Generators of the group modulo torsion |
j |
-20010443469303169/794445208129650 |
j-invariant |
L |
9.5081027525515 |
L(r)(E,1)/r! |
Ω |
0.24171127847526 |
Real period |
R |
2.4585382435455 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270cp3 |
Quadratic twists by: -3 |