Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
32340bj |
Isogeny class |
Conductor |
32340 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
Δ |
1.155698480475E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1738340,714049188] |
[a1,a2,a3,a4,a6] |
Generators |
[1696:-51450:1] |
Generators of the group modulo torsion |
j |
19288565375865424/3837216796875 |
j-invariant |
L |
7.0738369801434 |
L(r)(E,1)/r! |
Ω |
0.17718585556616 |
Real period |
R |
0.22179588889056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360fm2 97020bt2 4620b2 |
Quadratic twists by: -4 -3 -7 |