Atkin-Lehner |
2- 3- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
59568bg |
Isogeny class |
Conductor |
59568 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-2195914752 = -1 · 216 · 33 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 -5 2 -6 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1752,-28908] |
[a1,a2,a3,a4,a6] |
Generators |
[54:192:1] |
Generators of the group modulo torsion |
j |
-145282709593/536112 |
j-invariant |
L |
6.8674908355495 |
L(r)(E,1)/r! |
Ω |
0.36886669633582 |
Real period |
R |
1.551484340176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7446b1 |
Quadratic twists by: -4 |