Atkin-Lehner |
2+ 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640p |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
1032264000 = 26 · 37 · 53 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -5 -5 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-615,-5463] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:5:1] |
Generators of the group modulo torsion |
j |
402601199104/16129125 |
j-invariant |
L |
4.524053266965 |
L(r)(E,1)/r! |
Ω |
0.96093365642165 |
Real period |
R |
1.569325567463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999786 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640bg1 28320u1 |
Quadratic twists by: -4 8 |