Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440dt |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-7650613555200 = -1 · 212 · 36 · 52 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5283,198882] |
[a1,a2,a3,a4,a6] |
Generators |
[1:440:1] |
Generators of the group modulo torsion |
j |
-5461074081/2562175 |
j-invariant |
L |
5.2052866888988 |
L(r)(E,1)/r! |
Ω |
0.69209273506388 |
Real period |
R |
0.47006766806126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3465f1 6160n1 |
Quadratic twists by: -4 -3 |