Atkin-Lehner |
2+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
34112k |
Isogeny class |
Conductor |
34112 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
545792 = 210 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 2 -2 4 0 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-709,-7035] |
[a1,a2,a3,a4,a6] |
Generators |
[33090716736:428684169851:191102976] |
Generators of the group modulo torsion |
j |
38545604608/533 |
j-invariant |
L |
8.3026169151192 |
L(r)(E,1)/r! |
Ω |
0.92509710691401 |
Real period |
R |
17.949719771182 |
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 |
34112u1 2132b1 |
Quadratic twists by: -4 8 |