Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208by |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-25174416736387072 = -1 · 224 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 0 4 7+ 11- 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-226028,42059600] |
[a1,a2,a3,a4,a6] |
Generators |
[34930:105984:125] |
Generators of the group modulo torsion |
j |
-2749884201/54208 |
j-invariant |
L |
8.2982290127555 |
L(r)(E,1)/r! |
Ω |
0.37761610593332 |
Real period |
R |
5.4938261916363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000138 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54208bf1 13552n1 4928bc1 |
Quadratic twists by: -4 8 -11 |