Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440cy |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
2095152998400000 = 214 · 312 · 55 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-719283,-234789518] |
[a1,a2,a3,a4,a6] |
Generators |
[280196:18162063:64] |
Generators of the group modulo torsion |
j |
13782741913468081/701662500 |
j-invariant |
L |
5.5846232734223 |
L(r)(E,1)/r! |
Ω |
0.1639366032398 |
Real period |
R |
8.5164373955497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930j1 18480de1 |
Quadratic twists by: -4 -3 |