Atkin-Lehner |
2+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
110864a |
Isogeny class |
Conductor |
110864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
-2634433737728 = -1 · 210 · 137 · 41 |
Discriminant |
Eigenvalues |
2+ -1 -2 2 -6 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1296,75568] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-338:1] |
Generators of the group modulo torsion |
j |
48668/533 |
j-invariant |
L |
2.5032282762606 |
L(r)(E,1)/r! |
Ω |
0.59667556578058 |
Real period |
R |
1.048823027959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999273581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55432b1 8528a1 |
Quadratic twists by: -4 13 |