Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20880k |
Isogeny class |
Conductor |
20880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-228322800 = -1 · 24 · 39 · 52 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 5 -5 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,-727] |
[a1,a2,a3,a4,a6] |
j |
-256/19575 |
j-invariant |
L |
3.2273639141287 |
L(r)(E,1)/r! |
Ω |
0.80684097853219 |
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 |
10440e1 83520gj1 6960k1 104400v1 |
Quadratic twists by: -4 8 -3 5 |