Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600dx |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
301056000 = 214 · 3 · 53 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-273,-1617] |
[a1,a2,a3,a4,a6] |
j |
1102736/147 |
j-invariant |
L |
2.3690106946829 |
L(r)(E,1)/r! |
Ω |
1.1845053473434 |
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 |
33600fp2 2100h2 100800ih2 33600br2 |
Quadratic twists by: -4 8 -3 5 |