Atkin-Lehner |
2- 3- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
57936ba |
Isogeny class |
Conductor |
57936 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-171185584896 = -1 · 28 · 33 · 173 · 712 |
Discriminant |
Eigenvalues |
2- 3- 1 4 5 -3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,795,18207] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:102:1] |
Generators of the group modulo torsion |
j |
216789745664/668693691 |
j-invariant |
L |
10.279993435376 |
L(r)(E,1)/r! |
Ω |
0.71772708106513 |
Real period |
R |
0.39786066422143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14484c1 |
Quadratic twists by: -4 |