Atkin-Lehner |
2- 3- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
57936bd |
Isogeny class |
Conductor |
57936 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-32273596416 = -1 · 219 · 3 · 172 · 71 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 3 -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-272,8724] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:102:1] |
Generators of the group modulo torsion |
j |
-545338513/7879296 |
j-invariant |
L |
5.8003911005603 |
L(r)(E,1)/r! |
Ω |
0.98941227036072 |
Real period |
R |
1.4656153138857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999676 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7242h1 |
Quadratic twists by: -4 |