Atkin-Lehner |
2- 3+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
56544f |
Isogeny class |
Conductor |
56544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
145673515584 = 26 · 38 · 192 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 0 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1794,-22176] |
[a1,a2,a3,a4,a6] |
Generators |
[-21456:47600:729] |
Generators of the group modulo torsion |
j |
9982817080768/2276148681 |
j-invariant |
L |
5.7363788222973 |
L(r)(E,1)/r! |
Ω |
0.74554870258769 |
Real period |
R |
7.6941704846593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999495 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56544e1 113088o2 |
Quadratic twists by: -4 8 |