Atkin-Lehner |
2+ 3- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
34224k |
Isogeny class |
Conductor |
34224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
416403408 = 24 · 3 · 234 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-207,528] |
[a1,a2,a3,a4,a6] |
Generators |
[594960:7895888:3375] |
Generators of the group modulo torsion |
j |
61604313088/26025213 |
j-invariant |
L |
8.0589413318781 |
L(r)(E,1)/r! |
Ω |
1.5179999951472 |
Real period |
R |
10.617841050911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17112i1 102672o1 |
Quadratic twists by: -4 -3 |