Atkin-Lehner |
2+ 3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650cb |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-1729840455000 = -1 · 23 · 313 · 54 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4842,145516] |
[a1,a2,a3,a4,a6] |
j |
-27557573425/3796632 |
j-invariant |
L |
1.6243080881404 |
L(r)(E,1)/r! |
Ω |
0.81215413728899 |
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 |
32550ce1 97650ei1 |
Quadratic twists by: -3 5 |