Atkin-Lehner |
2+ 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67536u |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
58960630515024 = 24 · 36 · 75 · 673 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -4 5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11322,-280233] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:154:1] |
Generators of the group modulo torsion |
j |
13760862418944/5054923741 |
j-invariant |
L |
7.1979739462207 |
L(r)(E,1)/r! |
Ω |
0.47710283145918 |
Real period |
R |
3.0173679432396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33768e1 7504i1 |
Quadratic twists by: -4 -3 |