Atkin-Lehner |
2+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
1426d |
Isogeny class |
Conductor |
1426 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
45632 = 26 · 23 · 31 |
Discriminant |
Eigenvalues |
2+ -2 -4 0 0 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18,-28] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:1:1] |
Generators of the group modulo torsion |
j |
594823321/45632 |
j-invariant |
L |
1.1375321708709 |
L(r)(E,1)/r! |
Ω |
2.344848149321 |
Real period |
R |
0.97023951951878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11408e1 45632l1 12834o1 35650j1 |
Quadratic twists by: -4 8 -3 5 |