Atkin-Lehner |
31+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
97061a |
Isogeny class |
Conductor |
97061 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44880 |
Modular degree for the optimal curve |
Δ |
9420837721 = 314 · 1012 |
Discriminant |
Eigenvalues |
-1 1 -1 1 3 -5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-981,10784] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:68:1] |
Generators of the group modulo torsion |
j |
113060689/10201 |
j-invariant |
L |
4.1997770708652 |
L(r)(E,1)/r! |
Ω |
1.2619925703584 |
Real period |
R |
1.6639468351172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999621091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97061c1 |
Quadratic twists by: -31 |