Atkin-Lehner |
3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
6909d |
Isogeny class |
Conductor |
6909 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
16588509 = 3 · 76 · 47 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36849,-2737974] |
[a1,a2,a3,a4,a6] |
Generators |
[2638:35427:8] |
Generators of the group modulo torsion |
j |
47034153084673/141 |
j-invariant |
L |
1.9053402383287 |
L(r)(E,1)/r! |
Ω |
0.34458238033437 |
Real period |
R |
5.5294186443306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110544ds4 20727k4 141c4 |
Quadratic twists by: -4 -3 -7 |