Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20880ci |
Isogeny class |
Conductor |
20880 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-1643924160000000 = -1 · 212 · 311 · 57 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 1 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11328,-1894736] |
[a1,a2,a3,a4,a6] |
j |
53838872576/550546875 |
j-invariant |
L |
3.271541267029 |
L(r)(E,1)/r! |
Ω |
0.2336815190735 |
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 |
1305e1 83520fd1 6960bh1 104400du1 |
Quadratic twists by: -4 8 -3 5 |