Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
2772d |
Isogeny class |
Conductor |
2772 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1188223344 = -1 · 24 · 39 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- 5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-621,-6183] |
[a1,a2,a3,a4,a6] |
j |
-84098304/3773 |
j-invariant |
L |
2.8616117117102 |
L(r)(E,1)/r! |
Ω |
0.47693528528504 |
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 |
11088z2 44352j2 2772c1 69300g2 |
Quadratic twists by: -4 8 -3 5 |