Atkin-Lehner |
2+ 3+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
99216c |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-247643136 = -1 · 210 · 33 · 132 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51,770] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:28:1] [-5:30:1] |
Generators of the group modulo torsion |
j |
-530604/8957 |
j-invariant |
L |
10.429453767485 |
L(r)(E,1)/r! |
Ω |
1.480168849337 |
Real period |
R |
1.7615310867729 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49608j1 99216a1 |
Quadratic twists by: -4 -3 |