Atkin-Lehner |
2- 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
85200dp |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
66148002000 = 24 · 38 · 53 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11053,-450802] |
[a1,a2,a3,a4,a6] |
j |
74674705399808/33074001 |
j-invariant |
L |
3.725012818323 |
L(r)(E,1)/r! |
Ω |
0.46562659982511 |
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 |
21300j1 85200cl1 |
Quadratic twists by: -4 5 |