Atkin-Lehner |
2+ 3+ 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270f |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.6918505152329E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14549178,-20428990572] |
[a1,a2,a3,a4,a6] |
j |
340595676265053452580100009/16918505152329026400000 |
j-invariant |
L |
1.2406435637583 |
L(r)(E,1)/r! |
Ω |
0.077540222735369 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810et3 |
Quadratic twists by: -3 |