Atkin-Lehner |
2+ 3+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124722h |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
453884311296 = 28 · 39 · 133 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -4 3 13- -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2040,14912] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:232:1] [-16:216:1] |
Generators of the group modulo torsion |
j |
21717639/10496 |
j-invariant |
L |
7.430075239081 |
L(r)(E,1)/r! |
Ω |
0.83459797180418 |
Real period |
R |
1.1128225031567 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000008317 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124722bj1 124722bi1 |
Quadratic twists by: -3 13 |