Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700p |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
598273785234000 = 24 · 36 · 53 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21193,166282] |
[a1,a2,a3,a4,a6] |
Generators |
[-147:289:1] |
Generators of the group modulo torsion |
j |
21807104/12393 |
j-invariant |
L |
5.4873806914839 |
L(r)(E,1)/r! |
Ω |
0.44291683605238 |
Real period |
R |
2.0648649457404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993205 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86700bu1 5100p1 |
Quadratic twists by: 5 17 |