Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600cf |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-1829677248000000 = -1 · 212 · 35 · 56 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20967,1701063] |
[a1,a2,a3,a4,a6] |
j |
15926924096/28588707 |
j-invariant |
L |
3.2242410013015 |
L(r)(E,1)/r! |
Ω |
0.32242410013098 |
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 |
33600t2 16800be1 100800di2 1344e2 |
Quadratic twists by: -4 8 -3 5 |