Atkin-Lehner |
2- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18130t |
Isogeny class |
Conductor |
18130 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-40177326437500 = -1 · 22 · 56 · 73 · 374 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 4 -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4110,-321728] |
[a1,a2,a3,a4,a6] |
Generators |
[384:7208:1] |
Generators of the group modulo torsion |
j |
-22385235204487/117135062500 |
j-invariant |
L |
5.5967830553754 |
L(r)(E,1)/r! |
Ω |
0.26854612339207 |
Real period |
R |
0.86837706323363 |
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 |
90650g1 18130o1 |
Quadratic twists by: 5 -7 |