Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
3276h |
Isogeny class |
Conductor |
3276 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-16982784 = -1 · 28 · 36 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 4 13- 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,-236] |
[a1,a2,a3,a4,a6] |
j |
-65536/91 |
j-invariant |
L |
1.7262502541387 |
L(r)(E,1)/r! |
Ω |
0.86312512706935 |
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 |
13104cj1 52416bl1 364b1 81900x1 |
Quadratic twists by: -4 8 -3 5 |