Atkin-Lehner |
2- 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110466bp |
Isogeny class |
Conductor |
110466 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
37314534606912 = 26 · 36 · 17 · 196 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -6 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9815,234159] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:738:1] |
Generators of the group modulo torsion |
j |
3048625/1088 |
j-invariant |
L |
6.7385495706887 |
L(r)(E,1)/r! |
Ω |
0.59546515421732 |
Real period |
R |
0.94303720737252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025584 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12274d1 306b1 |
Quadratic twists by: -3 -19 |