Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730cn |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1499943572190 = 2 · 32 · 5 · 710 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1387730,-629340090] |
[a1,a2,a3,a4,a6] |
Generators |
[-8275828030:4151740577:12167000] |
Generators of the group modulo torsion |
j |
2512178084060054929/12749310 |
j-invariant |
L |
14.279727724893 |
L(r)(E,1)/r! |
Ω |
0.13909877616028 |
Real period |
R |
12.832362827312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.000000002438 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390o3 |
Quadratic twists by: -7 |