Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722gt |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
6.9761960026323E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17272289,27340016113] |
[a1,a2,a3,a4,a6] |
Generators |
[-4751:48680:1] |
Generators of the group modulo torsion |
j |
3750606459153/45914176 |
j-invariant |
L |
13.696522246161 |
L(r)(E,1)/r! |
Ω |
0.1333026602467 |
Real period |
R |
4.2811480778558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999986598 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11858i2 15246bv2 9702w2 |
Quadratic twists by: -3 -7 -11 |