Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722bd |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2963854270812137472 = 211 · 39 · 73 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-249785223,1519553778749] |
[a1,a2,a3,a4,a6] |
Generators |
[20045:2126898:1] |
Generators of the group modulo torsion |
j |
144106117295241933/247808 |
j-invariant |
L |
3.8826716779276 |
L(r)(E,1)/r! |
Ω |
0.16372674967693 |
Real period |
R |
5.9285847961829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006375 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106722ev2 106722y2 9702bl2 |
Quadratic twists by: -3 -7 -11 |