Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440cs |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2.005939485553E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-802905123,8756515231522] |
[a1,a2,a3,a4,a6] |
Generators |
[-16849:4183470:1] |
Generators of the group modulo torsion |
j |
19170300594578891358373921/671785075055001600 |
j-invariant |
L |
4.9042369075969 |
L(r)(E,1)/r! |
Ω |
0.077489068007237 |
Real period |
R |
7.9111754626052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000173 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6930i2 18480da2 |
Quadratic twists by: -4 -3 |