Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200gx |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
16621200000000 = 210 · 37 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -2 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7833,183537] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:647:1] |
Generators of the group modulo torsion |
j |
132893440/41553 |
j-invariant |
L |
3.121805336249 |
L(r)(E,1)/r! |
Ω |
0.64290203323549 |
Real period |
R |
4.8558025430397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026711 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200et1 22800dt1 91200hu1 |
Quadratic twists by: -4 8 5 |