Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
81120m |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
19790540909867520 = 29 · 36 · 5 · 139 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-97400,9576072] |
[a1,a2,a3,a4,a6] |
Generators |
[4266:83517:8] |
Generators of the group modulo torsion |
j |
18821096/3645 |
j-invariant |
L |
2.8371708393814 |
L(r)(E,1)/r! |
Ω |
0.36543179354321 |
Real period |
R |
7.7638861377239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81120x2 81120bf2 |
Quadratic twists by: -4 13 |