Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200f |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8871936000000000000 = 225 · 3 · 512 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -4 -6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3197633,-2195116863] |
[a1,a2,a3,a4,a6] |
Generators |
[5718317:-335000000:1331] |
Generators of the group modulo torsion |
j |
882774443450089/2166000000 |
j-invariant |
L |
3.9113107982787 |
L(r)(E,1)/r! |
Ω |
0.11291624422993 |
Real period |
R |
8.6597610959156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200ih2 2850z2 18240bm2 |
Quadratic twists by: -4 8 5 |