Atkin-Lehner |
2+ 3- 5+ 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
119970o |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
180224 |
Modular degree for the optimal curve |
Δ |
11194640640 = 28 · 38 · 5 · 31 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11295,464845] |
[a1,a2,a3,a4,a6] |
Generators |
[71:95:1] |
Generators of the group modulo torsion |
j |
218613268577521/15356160 |
j-invariant |
L |
2.8035614395343 |
L(r)(E,1)/r! |
Ω |
1.2140165455552 |
Real period |
R |
2.3093272240798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999993009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39990v1 |
Quadratic twists by: -3 |