Atkin-Lehner |
3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
6909d |
Isogeny class |
Conductor |
6909 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2338979769 = 32 · 76 · 472 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2304,-43464] |
[a1,a2,a3,a4,a6] |
Generators |
[83:546:1] |
Generators of the group modulo torsion |
j |
11497268593/19881 |
j-invariant |
L |
1.9053402383287 |
L(r)(E,1)/r! |
Ω |
0.68916476066874 |
Real period |
R |
2.7647093221653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110544ds2 20727k2 141c2 |
Quadratic twists by: -4 -3 -7 |