Atkin-Lehner |
2- 3- 13- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75582bp |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
774230565888 = 210 · 36 · 132 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 13- 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2399,-15289] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:184:1] |
Generators of the group modulo torsion |
j |
2093713241257/1062044672 |
j-invariant |
L |
11.706258222908 |
L(r)(E,1)/r! |
Ω |
0.71982142925914 |
Real period |
R |
0.81313626894771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999742 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8398c1 |
Quadratic twists by: -3 |