Atkin-Lehner |
3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
2709b |
Isogeny class |
Conductor |
2709 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
-595079033365467 = -1 · 324 · 72 · 43 |
Discriminant |
Eigenvalues |
0 3- 0 7- 3 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-390,1173672] |
[a1,a2,a3,a4,a6] |
j |
-8998912000/816294970323 |
j-invariant |
L |
1.6441910718853 |
L(r)(E,1)/r! |
Ω |
0.41104776797133 |
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 |
43344x1 903b1 67725m1 18963k1 |
Quadratic twists by: -4 -3 5 -7 |