Atkin-Lehner |
2+ 3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
99216o |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
367618812083918928 = 24 · 312 · 138 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-201594,19046783] |
[a1,a2,a3,a4,a6] |
Generators |
[16882:758563:8] |
Generators of the group modulo torsion |
j |
77679962564196352/31517387867277 |
j-invariant |
L |
7.5169692782029 |
L(r)(E,1)/r! |
Ω |
0.27380540740614 |
Real period |
R |
6.863422968971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999857975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49608g1 33072e1 |
Quadratic twists by: -4 -3 |