Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190bc |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2635776 |
Modular degree for the optimal curve |
Δ |
-1.3239505377203E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,64216,-174945418] |
[a1,a2,a3,a4,a6] |
Generators |
[921:25339:1] |
Generators of the group modulo torsion |
j |
2761677827/1248480000 |
j-invariant |
L |
4.3434456164547 |
L(r)(E,1)/r! |
Ω |
0.10484476418699 |
Real period |
R |
3.4522830395691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86190db1 |
Quadratic twists by: 13 |