Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43120h |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-30356480 = -1 · 210 · 5 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 11+ -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-296,2080] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:22:1] [6:22:1] |
Generators of the group modulo torsion |
j |
-57354724/605 |
j-invariant |
L |
7.2336754931209 |
L(r)(E,1)/r! |
Ω |
2.0987656119046 |
Real period |
R |
0.86165833050735 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21560f1 43120n1 |
Quadratic twists by: -4 -7 |