Atkin-Lehner |
5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11495d |
Isogeny class |
Conductor |
11495 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
1120025153225 = 52 · 119 · 19 |
Discriminant |
Eigenvalues |
-1 2 5- 0 11+ -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13615,-615020] |
[a1,a2,a3,a4,a6] |
j |
118370771/475 |
j-invariant |
L |
1.7683156871646 |
L(r)(E,1)/r! |
Ω |
0.44207892179115 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103455j1 57475b1 11495e1 |
Quadratic twists by: -3 5 -11 |