Atkin-Lehner |
2- 3+ 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
38940c |
Isogeny class |
Conductor |
38940 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
6.3451640193757E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28314276,-43511841240] |
[a1,a2,a3,a4,a6] |
Generators |
[3257608:94217041:512] |
Generators of the group modulo torsion |
j |
9806186429784987404620624/2478579695068616101875 |
j-invariant |
L |
4.5012090808766 |
L(r)(E,1)/r! |
Ω |
0.066665061636867 |
Real period |
R |
11.253293630263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116820w2 |
Quadratic twists by: -3 |