Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722eq |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
-1488518932735029888 = -1 · 27 · 39 · 79 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11455940,14927287015] |
[a1,a2,a3,a4,a6] |
Generators |
[2641:-56887:1] [-14890:1388437:8] |
Generators of the group modulo torsion |
j |
-4904170882875/43904 |
j-invariant |
L |
16.948946592432 |
L(r)(E,1)/r! |
Ω |
0.24202983509017 |
Real period |
R |
1.2505059986937 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999978868 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722r1 15246bb2 106722q2 |
Quadratic twists by: -3 -7 -11 |