Atkin-Lehner |
2- 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56640cd |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
1 |
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 |
[4921612581:49836552884:34965783] |
Generators of the group modulo torsion |
j |
-151283115210304/5806485 |
j-invariant |
L |
4.9030085672141 |
L(r)(E,1)/r! |
Ω |
0.29242511239885 |
Real period |
R |
16.766715167159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640db1 28320v1 |
Quadratic twists by: -4 8 |