Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600er |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3687936000000 = -1 · 215 · 3 · 56 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1567,88737] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:200:1] [-8:275:1] |
Generators of the group modulo torsion |
j |
830584/7203 |
j-invariant |
L |
7.102788412619 |
L(r)(E,1)/r! |
Ω |
0.57647681283617 |
Real period |
R |
1.5401288166463 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600gv3 16800q4 100800ma3 1344s4 |
Quadratic twists by: -4 8 -3 5 |