Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360ff |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.3266375495819E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1404865,616960225] |
[a1,a2,a3,a4,a6] |
j |
4678944235881273796/202428825314625 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
87360dt3 21840l3 |
Quadratic twists by: -4 8 |