Atkin-Lehner |
2+ 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
88752h |
Isogeny class |
Conductor |
88752 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
54912 |
Modular degree for the optimal curve |
Δ |
549552384 = 28 · 33 · 433 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 6 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-444,3276] |
[a1,a2,a3,a4,a6] |
j |
476656/27 |
j-invariant |
L |
4.8504272427275 |
L(r)(E,1)/r! |
Ω |
1.6168090773838 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44376a1 88752c1 |
Quadratic twists by: -4 -43 |