Atkin-Lehner |
2+ 3+ 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270f |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4.8361287744E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2549178,1154209428] |
[a1,a2,a3,a4,a6] |
j |
1831995757526953572100009/483612877440000000000 |
j-invariant |
L |
1.2406435637583 |
L(r)(E,1)/r! |
Ω |
0.15508044547074 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117810et2 |
Quadratic twists by: -3 |