Atkin-Lehner |
2+ 3- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
107640g |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1461887902800 = 24 · 312 · 52 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2838,1537] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:230:1] [-28:243:1] |
Generators of the group modulo torsion |
j |
216727177216/125333325 |
j-invariant |
L |
10.752029801738 |
L(r)(E,1)/r! |
Ω |
0.72102601122797 |
Real period |
R |
1.8640155891393 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000844 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35880t1 |
Quadratic twists by: -3 |