Atkin-Lehner |
2- 3- 5- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
64170bi |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-14849820979200 = -1 · 212 · 38 · 52 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 -6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4982,230789] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-329:1] [-63:571:1] |
Generators of the group modulo torsion |
j |
-18755369578009/20370124800 |
j-invariant |
L |
14.354844579691 |
L(r)(E,1)/r! |
Ω |
0.63691477483376 |
Real period |
R |
0.46954360912032 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999799 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21390d1 |
Quadratic twists by: -3 |