Atkin-Lehner |
2+ 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3990n |
Isogeny class |
Conductor |
3990 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-1296351000 = -1 · 23 · 33 · 53 · 7 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16199,-794878] |
[a1,a2,a3,a4,a6] |
j |
-470056203380406889/1296351000 |
j-invariant |
L |
1.9043341557313 |
L(r)(E,1)/r! |
Ω |
0.21159268397014 |
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 |
31920s2 127680bj2 11970cj2 19950bt2 |
Quadratic twists by: -4 8 -3 5 |