Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786bh |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-1301381033472 = -1 · 29 · 37 · 133 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -6 13- -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2695,-11239] |
[a1,a2,a3,a4,a6] |
Generators |
[87:892:1] |
Generators of the group modulo torsion |
j |
5615234375/3374592 |
j-invariant |
L |
7.8704735888341 |
L(r)(E,1)/r! |
Ω |
0.50015509758904 |
Real period |
R |
0.14570431423533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41262l2 123786bf2 |
Quadratic twists by: -3 -23 |