Atkin-Lehner |
2- 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32472l |
Isogeny class |
Conductor |
32472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
274323456 = 211 · 33 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5259,146790] |
[a1,a2,a3,a4,a6] |
Generators |
[930:8415:8] |
Generators of the group modulo torsion |
j |
290897177958/4961 |
j-invariant |
L |
6.7146015187589 |
L(r)(E,1)/r! |
Ω |
1.5959837147086 |
Real period |
R |
4.2071867381082 |
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 |
64944c2 32472c2 |
Quadratic twists by: -4 -3 |