Atkin-Lehner |
2- 3- 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58344i |
Isogeny class |
Conductor |
58344 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
Δ |
94069925781841152 = 28 · 314 · 112 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1405404,640645200] |
[a1,a2,a3,a4,a6] |
Generators |
[-702:35802:1] [828:-6732:1] |
Generators of the group modulo torsion |
j |
1199188932400332409552/367460647585317 |
j-invariant |
L |
10.305076206561 |
L(r)(E,1)/r! |
Ω |
0.33098829857891 |
Real period |
R |
0.18532298449244 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116688d2 |
Quadratic twists by: -4 |