Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350b |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-6302802017280000000 = -1 · 216 · 3 · 57 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-578150,207652500] |
[a1,a2,a3,a4,a6] |
Generators |
[-4767404:115986134:6859] |
Generators of the group modulo torsion |
j |
-56667352321/16711680 |
j-invariant |
L |
3.3479305646094 |
L(r)(E,1)/r! |
Ω |
0.22571475125909 |
Real period |
R |
7.416286587242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8670v1 2550h1 |
Quadratic twists by: 5 17 |