Atkin-Lehner |
2+ 3- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22632b |
Isogeny class |
Conductor |
22632 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
58662144 = 28 · 35 · 23 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 -6 -6 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97,-61] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:18:1] [-5:18:1] |
Generators of the group modulo torsion |
j |
398353408/229149 |
j-invariant |
L |
7.3304925426371 |
L(r)(E,1)/r! |
Ω |
1.6532008489732 |
Real period |
R |
0.22170604821521 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45264c1 67896i1 |
Quadratic twists by: -4 -3 |