Atkin-Lehner |
3- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
96921q |
Isogeny class |
Conductor |
96921 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7.7662085634676E+22 |
Discriminant |
Eigenvalues |
1 3- 2 2 11- 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15291216,-26631942683] |
[a1,a2,a3,a4,a6] |
Generators |
[8963397118704403523342940182403052219855742470786754636022801325672280369428471259666506380:181148241701509644154608741007325574464371279529003430587904620613358710613013127350983720033:1872599498332919445442398800609698736418055290677267088903990642670022504504630162968000] |
Generators of the group modulo torsion |
j |
-306172484303077657/60134736206281 |
j-invariant |
L |
10.609710028885 |
L(r)(E,1)/r! |
Ω |
0.037772849187682 |
Real period |
R |
140.44095503848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10769c2 8811c2 |
Quadratic twists by: -3 -11 |