Atkin-Lehner |
2- 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13776l |
Isogeny class |
Conductor |
13776 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
-3293536145743872 = -1 · 213 · 35 · 79 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 1 -4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52736,-5400192] |
[a1,a2,a3,a4,a6] |
j |
-3959985141923329/804085973082 |
j-invariant |
L |
2.8047638137349 |
L(r)(E,1)/r! |
Ω |
0.15582021187416 |
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 |
1722p1 55104dl1 41328cg1 96432cs1 |
Quadratic twists by: -4 8 -3 -7 |