Atkin-Lehner |
2- 7+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
125552c |
Isogeny class |
Conductor |
125552 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1.0859796712349E+20 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ -6 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2599632,-1688550976] |
[a1,a2,a3,a4,a6] |
Generators |
[42644502:1049742514:19683] |
Generators of the group modulo torsion |
j |
-474350708907308680273/26513175567258856 |
j-invariant |
L |
4.8387090977638 |
L(r)(E,1)/r! |
Ω |
0.059256237289776 |
Real period |
R |
6.8047816210426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000091893 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15694c2 |
Quadratic twists by: -4 |