Atkin-Lehner |
2+ 3- 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84546p |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-95875164 = -1 · 22 · 36 · 72 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,84,-388] |
[a1,a2,a3,a4,a6] |
Generators |
[7:19:1] |
Generators of the group modulo torsion |
j |
89314623/131516 |
j-invariant |
L |
6.0785952927728 |
L(r)(E,1)/r! |
Ω |
1.0061271048891 |
Real period |
R |
1.5103944783993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9394f1 |
Quadratic twists by: -3 |