Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440cx |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-63228211200 = -1 · 212 · 36 · 52 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,12098] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:110:1] |
Generators of the group modulo torsion |
j |
-1/21175 |
j-invariant |
L |
6.3194213850439 |
L(r)(E,1)/r! |
Ω |
0.87846963604514 |
Real period |
R |
0.89920885220602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3465j1 6160l1 |
Quadratic twists by: -4 -3 |