Atkin-Lehner |
2- 3- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
11388d |
Isogeny class |
Conductor |
11388 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-369517824 = -1 · 28 · 32 · 133 · 73 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 4 13+ -8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-924,10548] |
[a1,a2,a3,a4,a6] |
j |
-341169022672/1443429 |
j-invariant |
L |
3.410135906198 |
L(r)(E,1)/r! |
Ω |
1.705067953099 |
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 |
45552j1 34164d1 |
Quadratic twists by: -4 -3 |