Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69696ey |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.6279623080862E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ -6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33141900,73395450128] |
[a1,a2,a3,a4,a6] |
Generators |
[30692021:-1630612377:4913] |
Generators of the group modulo torsion |
j |
8934171875/5832 |
j-invariant |
L |
6.5207629220659 |
L(r)(E,1)/r! |
Ω |
0.14262628008348 |
Real period |
R |
11.429806130768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696u2 17424bj2 23232co2 69696ex2 |
Quadratic twists by: -4 8 -3 -11 |