Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700bo |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-38469250593750000 = -1 · 24 · 3 · 59 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 -3 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52210258,-145222505887] |
[a1,a2,a3,a4,a6] |
Generators |
[302948373:53323663625:9261] |
Generators of the group modulo torsion |
j |
-2608300961238784/6375 |
j-invariant |
L |
9.2927735556543 |
L(r)(E,1)/r! |
Ω |
0.028082165754218 |
Real period |
R |
13.788071103114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17340h2 5100f2 |
Quadratic twists by: 5 17 |