Atkin-Lehner |
2- 3- 5- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
64170bh |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
3867140880 = 24 · 37 · 5 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-437,-1731] |
[a1,a2,a3,a4,a6] |
j |
12633057289/5304720 |
j-invariant |
L |
4.3367243644833 |
L(r)(E,1)/r! |
Ω |
1.0841810923637 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21390a1 |
Quadratic twists by: -3 |