Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360db |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-2.7703407834713E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9047135,-23052934465] |
[a1,a2,a3,a4,a6] |
j |
312404265277724598551/1056801141155738160 |
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 |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360fr3 2730a4 |
Quadratic twists by: -4 8 |