Atkin-Lehner |
2+ 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
56416c |
Isogeny class |
Conductor |
56416 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-208626368 = -1 · 26 · 41 · 433 |
Discriminant |
Eigenvalues |
2+ 1 -2 -3 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-834,-9580] |
[a1,a2,a3,a4,a6] |
Generators |
[262:4222:1] |
Generators of the group modulo torsion |
j |
-1003604321728/3259787 |
j-invariant |
L |
4.6935432683052 |
L(r)(E,1)/r! |
Ω |
0.44406873394663 |
Real period |
R |
5.2847035937239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56416g1 112832bd1 |
Quadratic twists by: -4 8 |