Atkin-Lehner |
2- 3+ 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
22908c |
Isogeny class |
Conductor |
22908 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
39585024 = 28 · 34 · 23 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 -2 -2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-85,49] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:2:1] [-5:18:1] |
Generators of the group modulo torsion |
j |
268435456/154629 |
j-invariant |
L |
6.7036846779679 |
L(r)(E,1)/r! |
Ω |
1.7414368824217 |
Real period |
R |
0.64158557277577 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91632q1 68724a1 |
Quadratic twists by: -4 -3 |