Atkin-Lehner |
2- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44608bi |
Isogeny class |
Conductor |
44608 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
206267392 = 210 · 173 · 41 |
Discriminant |
Eigenvalues |
2- 1 0 1 0 4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-153,-289] |
[a1,a2,a3,a4,a6] |
Generators |
[34:187:1] |
Generators of the group modulo torsion |
j |
389344000/201433 |
j-invariant |
L |
7.7947250237699 |
L(r)(E,1)/r! |
Ω |
1.435287428454 |
Real period |
R |
1.8102587837672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44608n1 11152s1 |
Quadratic twists by: -4 8 |