Atkin-Lehner |
2+ 3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
99216j |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-9752191458048 = -1 · 28 · 39 · 13 · 533 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -5 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,204,-150244] |
[a1,a2,a3,a4,a6] |
Generators |
[65:371:1] |
Generators of the group modulo torsion |
j |
5030912/52255827 |
j-invariant |
L |
4.0074165742567 |
L(r)(E,1)/r! |
Ω |
0.33555615969494 |
Real period |
R |
1.9904351220372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999506423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49608e1 33072a1 |
Quadratic twists by: -4 -3 |