Atkin-Lehner |
2+ 3- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270bg |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-2.9250498721795E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-200970899,2823718067822] |
[a1,a2,a3,a4,a6] |
j |
-897683483648020412943046715689/2925049872179531250000000000 |
j-invariant |
L |
2.219102545627 |
L(r)(E,1)/r! |
Ω |
0.039626831170854 |
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 |
117810ek3 |
Quadratic twists by: -3 |