Atkin-Lehner |
2+ 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
43512p |
Isogeny class |
Conductor |
43512 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
-8058965316665001984 = -1 · 211 · 317 · 77 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 0 2 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-779704,-298385872] |
[a1,a2,a3,a4,a6] |
j |
-217568172289106/33447302217 |
j-invariant |
L |
5.4166553007779 |
L(r)(E,1)/r! |
Ω |
0.079656695602778 |
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 |
87024v1 6216h1 |
Quadratic twists by: -4 -7 |