Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440n |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-33609746016000000 = -1 · 211 · 311 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,64437,-6177638] |
[a1,a2,a3,a4,a6] |
Generators |
[119:1782:1] |
Generators of the group modulo torsion |
j |
19818563370478/22511671875 |
j-invariant |
L |
4.4447837841566 |
L(r)(E,1)/r! |
Ω |
0.19851685551159 |
Real period |
R |
1.3993722890217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000113 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27720bj2 18480ba2 |
Quadratic twists by: -4 -3 |