Atkin-Lehner |
3+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
111843b |
Isogeny class |
Conductor |
111843 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-880869515603697 = -1 · 33 · 177 · 433 |
Discriminant |
Eigenvalues |
1 3+ 4 -4 0 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41670,-3561487] |
[a1,a2,a3,a4,a6] |
Generators |
[564928:3311251:2197] |
Generators of the group modulo torsion |
j |
-12278428443/1351619 |
j-invariant |
L |
9.2606270253173 |
L(r)(E,1)/r! |
Ω |
0.16604506720872 |
Real period |
R |
6.9714710222873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032182 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111843d1 6579a1 |
Quadratic twists by: -3 17 |