Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360df |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3.9156743539033E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1015609665,-8034890464737] |
[a1,a2,a3,a4,a6] |
j |
441940971557374648005559249/149371122509129665872000 |
j-invariant |
L |
1.3187637676198 |
L(r)(E,1)/r! |
Ω |
0.027474244671248 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360fp3 2730r3 |
Quadratic twists by: -4 8 |