Atkin-Lehner |
2- 3+ 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
56760l |
Isogeny class |
Conductor |
56760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
3065040 = 24 · 34 · 5 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-791,-8304] |
[a1,a2,a3,a4,a6] |
Generators |
[33:21:1] [65:459:1] |
Generators of the group modulo torsion |
j |
3425169823744/191565 |
j-invariant |
L |
7.8573027111787 |
L(r)(E,1)/r! |
Ω |
0.90014225094003 |
Real period |
R |
8.7289566765421 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113520n1 |
Quadratic twists by: -4 |