Atkin-Lehner |
2+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59168a |
Isogeny class |
Conductor |
59168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
461648 |
Modular degree for the optimal curve |
Δ |
-32165927163957952 = -1 · 26 · 439 |
Discriminant |
Eigenvalues |
2+ 0 4 0 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,79507,0] |
[a1,a2,a3,a4,a6] |
Generators |
[842743029019406573326995:-36799189529722345828797474:452099788291200624875] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
8.6042634616957 |
L(r)(E,1)/r! |
Ω |
0.22082888335048 |
Real period |
R |
38.963487615958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59168a1 118336u2 59168g1 |
Quadratic twists by: -4 8 -43 |