Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640db |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-371615040 = -1 · 26 · 39 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 0 -5 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4440,112410] |
[a1,a2,a3,a4,a6] |
Generators |
[33:54:1] |
Generators of the group modulo torsion |
j |
-151283115210304/5806485 |
j-invariant |
L |
8.7649971546163 |
L(r)(E,1)/r! |
Ω |
1.5894385223076 |
Real period |
R |
0.61272490824056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640cd1 28320q1 |
Quadratic twists by: -4 8 |