Atkin-Lehner |
2+ 3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
99216p |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
88594331904 = 28 · 36 · 132 · 532 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8271,-289170] |
[a1,a2,a3,a4,a6] |
Generators |
[3986:87373:8] |
Generators of the group modulo torsion |
j |
335297473488/474721 |
j-invariant |
L |
6.4236206102685 |
L(r)(E,1)/r! |
Ω |
0.50066470410945 |
Real period |
R |
6.4150923287663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007839 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49608q2 11024b2 |
Quadratic twists by: -4 -3 |