Atkin-Lehner |
2- 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
55470bh |
Isogeny class |
Conductor |
55470 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1560384 |
Modular degree for the optimal curve |
Δ |
6463107225502248960 = 212 · 33 · 5 · 438 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -5 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-468760,17248832] |
[a1,a2,a3,a4,a6] |
j |
974603041/552960 |
j-invariant |
L |
7.3590588671951 |
L(r)(E,1)/r! |
Ω |
0.2044183019245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55470a1 |
Quadratic twists by: -43 |