Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440da |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1353199029759118080 = -1 · 28 · 39 · 5 · 79 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,174192,-48470308] |
[a1,a2,a3,a4,a6] |
Generators |
[394:9018:1] |
Generators of the group modulo torsion |
j |
3132137615458304/7250937873795 |
j-invariant |
L |
4.4293984943038 |
L(r)(E,1)/r! |
Ω |
0.14024282855537 |
Real period |
R |
3.9479723667861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000207 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13860r2 18480ce2 |
Quadratic twists by: -4 -3 |