Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360hf |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-3788958259666944000 = -1 · 216 · 34 · 53 · 7 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-268065,-107906337] |
[a1,a2,a3,a4,a6] |
j |
-32506165579682596/57814914850875 |
j-invariant |
L |
4.7520423058442 |
L(r)(E,1)/r! |
Ω |
0.099000883950109 |
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 |
87360ba3 21840c3 |
Quadratic twists by: -4 8 |