Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150ge |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
7.9054424993285E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19530230,-33188291103] |
[a1,a2,a3,a4,a6] |
Generators |
[700822:206807085:8] |
Generators of the group modulo torsion |
j |
72326626749631816849/69403061722500 |
j-invariant |
L |
7.6757666695626 |
L(r)(E,1)/r! |
Ω |
0.071820386266534 |
Real period |
R |
6.6796552030122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000835 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28050f2 16830bd2 |
Quadratic twists by: -3 5 |