Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360fl |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
2.7032721466216E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10095012065,-390395347739775] |
[a1,a2,a3,a4,a6] |
j |
434014578033107719741685694649/103121648659575000 |
j-invariant |
L |
0.60246636489482 |
L(r)(E,1)/r! |
Ω |
0.01506166015371 |
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 |
87360cx4 21840cb4 |
Quadratic twists by: -4 8 |