Atkin-Lehner |
2- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008ch |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-202768384 = -1 · 217 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2- -2 -1 7+ 0 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,991] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-16:1] |
Generators of the group modulo torsion |
j |
-3543122/1547 |
j-invariant |
L |
4.0594032306391 |
L(r)(E,1)/r! |
Ω |
1.6694313654195 |
Real period |
R |
0.60790208638031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999758832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99008bi1 24752c1 |
Quadratic twists by: -4 8 |