Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40898a |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-10690339344256 = -1 · 27 · 113 · 137 |
Discriminant |
Eigenvalues |
2+ 0 1 -1 11+ 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5461,23557] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:86:1] |
Generators of the group modulo torsion |
j |
2803221/1664 |
j-invariant |
L |
3.9012176105315 |
L(r)(E,1)/r! |
Ω |
0.4396492468959 |
Real period |
R |
1.1091846619984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40898bb1 3146j1 |
Quadratic twists by: -11 13 |