Atkin-Lehner |
2+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008bi |
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 |
[435:496:27] |
Generators of the group modulo torsion |
j |
-3543122/1547 |
j-invariant |
L |
9.0580071894469 |
L(r)(E,1)/r! |
Ω |
0.65587394281606 |
Real period |
R |
3.4526479097948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982732 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99008ch1 12376c1 |
Quadratic twists by: -4 8 |