Atkin-Lehner |
2+ 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
43920t |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-10416418560 = -1 · 28 · 37 · 5 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-687,8494] |
[a1,a2,a3,a4,a6] |
Generators |
[5:72:1] |
Generators of the group modulo torsion |
j |
-192143824/55815 |
j-invariant |
L |
7.3068951385152 |
L(r)(E,1)/r! |
Ω |
1.2178061380856 |
Real period |
R |
1.5000119702963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21960v1 14640i1 |
Quadratic twists by: -4 -3 |