Atkin-Lehner |
3+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
3363c |
Isogeny class |
Conductor |
3363 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1257684651 = -1 · 310 · 192 · 59 |
Discriminant |
Eigenvalues |
1 3+ -2 0 6 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,219,1260] |
[a1,a2,a3,a4,a6] |
j |
1153330571303/1257684651 |
j-invariant |
L |
1.016899463408 |
L(r)(E,1)/r! |
Ω |
1.016899463408 |
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 |
53808x2 10089b2 84075l2 63897l2 |
Quadratic twists by: -4 -3 5 -19 |