Atkin-Lehner |
2- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
90650dl |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
287232 |
Modular degree for the optimal curve |
Δ |
-950534144000 = -1 · 222 · 53 · 72 · 37 |
Discriminant |
Eigenvalues |
2- -3 5- 7- -4 3 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1380,42207] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:-155:1] |
Generators of the group modulo torsion |
j |
47484282699/155189248 |
j-invariant |
L |
4.6879413166832 |
L(r)(E,1)/r! |
Ω |
0.62374095185199 |
Real period |
R |
0.17081469542318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90650bf1 90650cx1 |
Quadratic twists by: 5 -7 |