Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34272bf |
Isogeny class |
Conductor |
34272 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
283155264 = 26 · 37 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-201,-740] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:18:1] |
Generators of the group modulo torsion |
j |
19248832/6069 |
j-invariant |
L |
4.4929048513327 |
L(r)(E,1)/r! |
Ω |
1.2993989427038 |
Real period |
R |
0.8644198297529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34272r1 68544bd2 11424h1 |
Quadratic twists by: -4 8 -3 |