Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
55104di |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
204 |
Product of Tamagawa factors cp |
deg |
835584 |
Modular degree for the optimal curve |
Δ |
-476079223542644736 = -1 · 218 · 317 · 73 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -6 -3 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,45215,33005087] |
[a1,a2,a3,a4,a6] |
Generators |
[71:-6048:1] |
Generators of the group modulo torsion |
j |
38996155237031/1816098112269 |
j-invariant |
L |
7.5936542464013 |
L(r)(E,1)/r! |
Ω |
0.22412896476961 |
Real period |
R |
0.1660820383653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999607 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55104e1 13776i1 |
Quadratic twists by: -4 8 |