Atkin-Lehner |
2- 7+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
112784o |
Isogeny class |
Conductor |
112784 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-2217671792 = -1 · 24 · 72 · 19 · 533 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 3 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,322,343] |
[a1,a2,a3,a4,a6] |
Generators |
[42:371:8] |
Generators of the group modulo torsion |
j |
230049824000/138604487 |
j-invariant |
L |
4.3950589272636 |
L(r)(E,1)/r! |
Ω |
0.89623600049818 |
Real period |
R |
0.81731800092365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28196c1 |
Quadratic twists by: -4 |