Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414z |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
240151883583209472 = 214 · 36 · 72 · 177 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ -6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-156114,-2746796] |
[a1,a2,a3,a4,a6] |
Generators |
[2580:-130762:1] [-1970:37399:8] |
Generators of the group modulo torsion |
j |
23912763841/13647872 |
j-invariant |
L |
4.6949943701154 |
L(r)(E,1)/r! |
Ω |
0.25997274419745 |
Real period |
R |
2.2574454798184 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4046l1 2142k1 |
Quadratic twists by: -3 17 |