Atkin-Lehner |
2- 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31920q |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-3192000000000 = -1 · 212 · 3 · 59 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-710101,230555101] |
[a1,a2,a3,a4,a6] |
j |
-9667735243366334464/779296875 |
j-invariant |
L |
0.60834833062329 |
L(r)(E,1)/r! |
Ω |
0.60834833062441 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1995f3 127680fx3 95760ei3 |
Quadratic twists by: -4 8 -3 |