Atkin-Lehner |
2+ 7+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65968c |
Isogeny class |
Conductor |
65968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
261761024 = 211 · 7 · 19 · 312 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ 2 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5664,162196] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:310:1] [12:310:1] |
Generators of the group modulo torsion |
j |
9813866997314/127813 |
j-invariant |
L |
6.1908241970104 |
L(r)(E,1)/r! |
Ω |
1.59024699231 |
Real period |
R |
3.8929953818281 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999703 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32984f2 |
Quadratic twists by: -4 |