Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240kk |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1.9629361589335E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54009345,-152643935745] |
[a1,a2,a3,a4,a6] |
Generators |
[555153:-413600616:1] |
Generators of the group modulo torsion |
j |
66464620505913166201729/74880071980801920 |
j-invariant |
L |
9.3454316650544 |
L(r)(E,1)/r! |
Ω |
0.055694422406583 |
Real period |
R |
8.3899170073175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240cn4 28560cl4 |
Quadratic twists by: -4 8 |