Atkin-Lehner |
2- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
20812d |
Isogeny class |
Conductor |
20812 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
915728 = 24 · 113 · 43 |
Discriminant |
Eigenvalues |
2- 2 2 1 11+ -6 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-62,-163] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:55:27] |
Generators of the group modulo torsion |
j |
1257728/43 |
j-invariant |
L |
8.3241908908684 |
L(r)(E,1)/r! |
Ω |
1.702669180523 |
Real period |
R |
2.4444533870964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83248t1 20812a1 |
Quadratic twists by: -4 -11 |