Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43120a |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
47535460651571200 = 211 · 52 · 78 · 115 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 11+ -5 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3277136,-2282324960] |
[a1,a2,a3,a4,a6] |
Generators |
[-1044:148:1] |
Generators of the group modulo torsion |
j |
329680277223458/4026275 |
j-invariant |
L |
3.2931014141891 |
L(r)(E,1)/r! |
Ω |
0.11220862631522 |
Real period |
R |
3.668502951076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21560j1 43120s1 |
Quadratic twists by: -4 -7 |