Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
41454bt |
Isogeny class |
Conductor |
41454 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
9343690496203392 = 27 · 315 · 72 · 473 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-87800,-8846085] |
[a1,a2,a3,a4,a6] |
Generators |
[-199:945:1] |
Generators of the group modulo torsion |
j |
2095458259071625/261574157952 |
j-invariant |
L |
8.9727830251671 |
L(r)(E,1)/r! |
Ω |
0.27962224533549 |
Real period |
R |
0.76402251480041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13818c1 41454bl1 |
Quadratic twists by: -3 -7 |