Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600eq |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1475174400000000 = 219 · 3 · 58 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3073280033,65577989759937] |
[a1,a2,a3,a4,a6] |
j |
783736670177727068275201/360150 |
j-invariant |
L |
0.54505381331304 |
L(r)(E,1)/r! |
Ω |
0.13626345332862 |
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 |
33600da8 8400cc7 100800lv8 6720cd7 |
Quadratic twists by: -4 8 -3 5 |