Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440cu |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-86220288000 = -1 · 212 · 37 · 53 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,14128] |
[a1,a2,a3,a4,a6] |
Generators |
[17:135:1] |
Generators of the group modulo torsion |
j |
-4096/28875 |
j-invariant |
L |
4.551335031181 |
L(r)(E,1)/r! |
Ω |
0.86275846322506 |
Real period |
R |
2.637664668138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3465m1 18480db1 |
Quadratic twists by: -4 -3 |