Atkin-Lehner |
2- 3- 5- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810dy |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
2688 |
Product of Tamagawa factors cp |
Δ |
319776678144000000 = 214 · 36 · 56 · 72 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-817112,283195099] |
[a1,a2,a3,a4,a6] |
Generators |
[-8194:57643:8] [12639:-53933:27] |
Generators of the group modulo torsion |
j |
82763805446973676089/438651136000000 |
j-invariant |
L |
17.778522259317 |
L(r)(E,1)/r! |
Ω |
0.30700394268895 |
Real period |
R |
0.3447009062694 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985527 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13090b2 |
Quadratic twists by: -3 |