Atkin-Lehner |
2+ 3- 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
9222f |
Isogeny class |
Conductor |
9222 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
51072 |
Modular degree for the optimal curve |
Δ |
-246822325532544 = -1 · 27 · 3 · 29 · 536 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 -4 6 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,15341,192110] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:85:1] |
Generators of the group modulo torsion |
j |
399324003029024471/246822325532544 |
j-invariant |
L |
3.1400382718182 |
L(r)(E,1)/r! |
Ω |
0.34286622273854 |
Real period |
R |
1.5263670704851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73776j1 27666l1 |
Quadratic twists by: -4 -3 |