Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722fu |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
1968940387215648 = 25 · 36 · 78 · 114 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 11- 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-54473,-4389591] |
[a1,a2,a3,a4,a6] |
j |
290521/32 |
j-invariant |
L |
9.4421392924845 |
L(r)(E,1)/r! |
Ω |
0.31473797239932 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858d1 106722hm1 106722bz1 |
Quadratic twists by: -3 -7 -11 |