Atkin-Lehner |
2- 3- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40194by |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
18653522203008 = 27 · 38 · 74 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-66785,6656433] |
[a1,a2,a3,a4,a6] |
Generators |
[131:-444:1] |
Generators of the group modulo torsion |
j |
45188391038631625/25587821952 |
j-invariant |
L |
9.795428310892 |
L(r)(E,1)/r! |
Ω |
0.67989092520355 |
Real period |
R |
0.25727415414771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398c2 |
Quadratic twists by: -3 |