Atkin-Lehner |
2+ 3+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
99216a |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-180531846144 = -1 · 210 · 39 · 132 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-459,-20790] |
[a1,a2,a3,a4,a6] |
Generators |
[358:6760:1] |
Generators of the group modulo torsion |
j |
-530604/8957 |
j-invariant |
L |
8.091725431449 |
L(r)(E,1)/r! |
Ω |
0.43519024380531 |
Real period |
R |
4.6483839825679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959853 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49608a1 99216c1 |
Quadratic twists by: -4 -3 |