Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
32340s |
Isogeny class |
Conductor |
32340 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-45497074218750000 = -1 · 24 · 32 · 512 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-765445,258221650] |
[a1,a2,a3,a4,a6] |
Generators |
[490:750:1] |
Generators of the group modulo torsion |
j |
-26348629355659264/24169921875 |
j-invariant |
L |
4.9133142953963 |
L(r)(E,1)/r! |
Ω |
0.35711669522472 |
Real period |
R |
1.146523989006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360hn3 97020bk3 660d3 |
Quadratic twists by: -4 -3 -7 |