Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700v |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-199424595078000 = -1 · 24 · 35 · 53 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 5 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11078,817977] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1445:1] |
Generators of the group modulo torsion |
j |
-3114752/4131 |
j-invariant |
L |
5.0676859254145 |
L(r)(E,1)/r! |
Ω |
0.50959737865981 |
Real period |
R |
0.41435374108042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968332 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86700bw1 5100r1 |
Quadratic twists by: 5 17 |