Atkin-Lehner |
2- 3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
84420ba |
Isogeny class |
Conductor |
84420 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-1938135566304000 = -1 · 28 · 317 · 53 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28968,-940844] |
[a1,a2,a3,a4,a6] |
j |
14404949958656/10385242875 |
j-invariant |
L |
3.1528990123548 |
L(r)(E,1)/r! |
Ω |
0.26274158102912 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28140l1 |
Quadratic twists by: -3 |