Atkin-Lehner |
3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
81225bm |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
2.4181674720486E+19 |
Discriminant |
Eigenvalues |
2 3- 5- 4 1 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7646927625,-257382244174219] |
[a1,a2,a3,a4,a6] |
Generators |
[-20324727855323535039863921919992368615499395322408269030690050:1256288384308092911846287589418751267850829710284365188227:402570234407358450436390795645214225409914239032263714296] |
Generators of the group modulo torsion |
j |
2045023375454208 |
j-invariant |
L |
16.264824631298 |
L(r)(E,1)/r! |
Ω |
0.016144619344092 |
Real period |
R |
83.953794370764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9025f2 81225bn2 81225bu2 |
Quadratic twists by: -3 5 -19 |