Atkin-Lehner |
2+ 3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
99216o |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
725680070776267776 = 210 · 312 · 132 · 534 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23663019,-44305042390] |
[a1,a2,a3,a4,a6] |
Generators |
[-314449608372567810263:-11805546591646812720:111925116235992961] |
Generators of the group modulo torsion |
j |
1962938460994675560868/972115149681 |
j-invariant |
L |
7.5169692782029 |
L(r)(E,1)/r! |
Ω |
0.068451351851534 |
Real period |
R |
27.453691875884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999857975 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49608g4 33072e4 |
Quadratic twists by: -4 -3 |