Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360db |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
1.7354339706706E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84208545,-297449665857] |
[a1,a2,a3,a4,a6] |
j |
251913989442882736925929/6620155222590000 |
j-invariant |
L |
4.7844546166504 |
L(r)(E,1)/r! |
Ω |
0.04983806798444 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360fr4 2730a3 |
Quadratic twists by: -4 8 |