Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360fu |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
3054027361222656000 = 230 · 36 · 53 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1646401,-809304385] |
[a1,a2,a3,a4,a6] |
Generators |
[15599:1941504:1] |
Generators of the group modulo torsion |
j |
1882742462388824401/11650189824000 |
j-invariant |
L |
7.402919702475 |
L(r)(E,1)/r! |
Ω |
0.13332988499822 |
Real period |
R |
4.6269444749877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007505 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360m1 21840bk1 |
Quadratic twists by: -4 8 |