Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360ek |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
32244226560000 = 212 · 32 · 54 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39481,3020281] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:2184:1] |
Generators of the group modulo torsion |
j |
1661648641672384/7872125625 |
j-invariant |
L |
4.6505350921235 |
L(r)(E,1)/r! |
Ω |
0.66086159039501 |
Real period |
R |
0.87963485020099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007651 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360gm2 43680cc1 |
Quadratic twists by: -4 8 |