Atkin-Lehner |
2- 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
44880cd |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
97658880000 = 214 · 3 · 54 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7056,225300] |
[a1,a2,a3,a4,a6] |
j |
9486391169809/23842500 |
j-invariant |
L |
4.2758423167578 |
L(r)(E,1)/r! |
Ω |
1.0689605792598 |
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 |
5610ba1 |
Quadratic twists by: -4 |