Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
103200w |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-431334720000000 = -1 · 212 · 36 · 57 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 6 2 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38033,3012063] |
[a1,a2,a3,a4,a6] |
j |
-95068558144/6739605 |
j-invariant |
L |
6.2457054432728 |
L(r)(E,1)/r! |
Ω |
0.52047547512233 |
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 |
103200ca2 20640q2 |
Quadratic twists by: -4 5 |