Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360ff |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
412287273216000000 = 214 · 34 · 56 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-234865,-30985775] |
[a1,a2,a3,a4,a6] |
j |
87450143958975184/25164018140625 |
j-invariant |
L |
2.6595386578558 |
L(r)(E,1)/r! |
Ω |
0.2216282209361 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360dt2 21840l2 |
Quadratic twists by: -4 8 |