Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43120bk |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
133983660105680 = 24 · 5 · 712 · 112 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9608181,-11466509090] |
[a1,a2,a3,a4,a6] |
Generators |
[-67700379843553527695135772:-76801937175574350755687:37823386305594565841472] |
Generators of the group modulo torsion |
j |
52112158467655991296/71177645 |
j-invariant |
L |
3.0747810976074 |
L(r)(E,1)/r! |
Ω |
0.085751012570197 |
Real period |
R |
35.85708209682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999753 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10780h3 6160i3 |
Quadratic twists by: -4 -7 |