Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150fu |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-2.3148716726534E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11780995,17132164247] |
[a1,a2,a3,a4,a6] |
Generators |
[-6346:686093:8] |
Generators of the group modulo torsion |
j |
15875306080318016639/20322604533582450 |
j-invariant |
L |
10.042360303492 |
L(r)(E,1)/r! |
Ω |
0.066656779947995 |
Real period |
R |
4.7080546001325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000635 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050y5 16830t6 |
Quadratic twists by: -3 5 |