Atkin-Lehner |
2+ 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
44880v |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-38807197440 = -1 · 28 · 3 · 5 · 112 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,220,9468] |
[a1,a2,a3,a4,a6] |
j |
4579058864/151590615 |
j-invariant |
L |
3.4739895290193 |
L(r)(E,1)/r! |
Ω |
0.86849738222637 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440u1 |
Quadratic twists by: -4 |