Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730cq |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-1422267922915875000 = -1 · 23 · 34 · 56 · 79 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-459670,132933212] |
[a1,a2,a3,a4,a6] |
Generators |
[314:-4582:1] |
Generators of the group modulo torsion |
j |
-266182741333783/35245125000 |
j-invariant |
L |
14.55740826926 |
L(r)(E,1)/r! |
Ω |
0.26131066610123 |
Real period |
R |
0.77373889449952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86730bz2 |
Quadratic twists by: -7 |