Atkin-Lehner |
2+ 3- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
33984g |
Isogeny class |
Conductor |
33984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-11974130270208 = -1 · 219 · 38 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 4 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4020,134512] |
[a1,a2,a3,a4,a6] |
j |
37595375/62658 |
j-invariant |
L |
1.9525485041906 |
L(r)(E,1)/r! |
Ω |
0.48813712604914 |
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 |
33984bq2 1062c2 11328f2 |
Quadratic twists by: -4 8 -3 |