Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
2772d |
Isogeny class |
Conductor |
2772 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-4024944 = -1 · 24 · 33 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- 5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,39,-23] |
[a1,a2,a3,a4,a6] |
j |
15185664/9317 |
j-invariant |
L |
2.8616117117102 |
L(r)(E,1)/r! |
Ω |
1.4308058558551 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
11088z1 44352j1 2772c2 69300g1 |
Quadratic twists by: -4 8 -3 5 |