Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
97104cx |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1938816 |
Modular degree for the optimal curve |
Δ |
-415206793142677872 = -1 · 24 · 312 · 7 · 178 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2710338,1716823467] |
[a1,a2,a3,a4,a6] |
Generators |
[963:867:1] |
Generators of the group modulo torsion |
j |
-19727991904000/3720087 |
j-invariant |
L |
7.9616222393002 |
L(r)(E,1)/r! |
Ω |
0.28996156902701 |
Real period |
R |
0.76270856770804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24276d1 97104be1 |
Quadratic twists by: -4 17 |