Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360dh |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
139089000960000 = 212 · 38 · 54 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38025,2784375] |
[a1,a2,a3,a4,a6] |
Generators |
[153:-756:1] [-190:1785:1] |
Generators of the group modulo torsion |
j |
1484509063830976/33957275625 |
j-invariant |
L |
13.205119154329 |
L(r)(E,1)/r! |
Ω |
0.58129722920066 |
Real period |
R |
0.70989496056719 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993105 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360bs2 43680ba1 |
Quadratic twists by: -4 8 |