Atkin-Lehner |
2+ 3- 5+ 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
126270m |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7.1954443815293E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 6 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8073585,8822318391] |
[a1,a2,a3,a4,a6] |
Generators |
[-1917423:722210274:6859] |
Generators of the group modulo torsion |
j |
79835395286395885228561/98702940761718750 |
j-invariant |
L |
6.7088829678492 |
L(r)(E,1)/r! |
Ω |
0.1939108942541 |
Real period |
R |
8.6494403648319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000155139 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42090v2 |
Quadratic twists by: -3 |