Atkin-Lehner |
2+ 7+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
67522d |
Isogeny class |
Conductor |
67522 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
183744 |
Modular degree for the optimal curve |
Δ |
-9516846696448 = -1 · 211 · 74 · 13 · 533 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ 2 13- -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1248,-147346] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1702:1] |
Generators of the group modulo torsion |
j |
89634551783/3963701248 |
j-invariant |
L |
2.6754735838671 |
L(r)(E,1)/r! |
Ω |
0.34907897035993 |
Real period |
R |
2.5547930514504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000815 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67522h1 |
Quadratic twists by: -7 |