Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488bj |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2372819582976 = 215 · 3 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37377,2767935] |
[a1,a2,a3,a4,a6] |
j |
7301384/3 |
j-invariant |
L |
6.4287003853929 |
L(r)(E,1)/r! |
Ω |
0.80358754815476 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55488j4 27744f4 192a3 |
Quadratic twists by: -4 8 17 |