Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440ef |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
143401583001600 = 214 · 310 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13467,172874] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:448:1] [-67:880:1] |
Generators of the group modulo torsion |
j |
90458382169/48024900 |
j-invariant |
L |
9.9857153547 |
L(r)(E,1)/r! |
Ω |
0.50874846461166 |
Real period |
R |
2.4535001207146 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6930bm2 18480br2 |
Quadratic twists by: -4 -3 |